Herath added three wickets to his previous day's removal of opener Kraigg Brathwaite (34) after taking six wickets in the first innings. He finished with match figures of 10-147.
Yuvraj Singh's patchy form and fear of inclement weather will be paramount when India take on the West Indies in the second One Day International, in Port of Spain on Sunday.
Rain is expected to play role in 5th ODI in Thiruvananthapuram even as the wicket-keeper batsmen will look to complete 10,000 ODI runs.
West Indies captain Jason Holder demanded discipline from his bowlers in the remaining four ODIs of the five-match series against India, saying picking up wickets upfront would be crucial.
The last time West Indies won a Test series against India was at home in 2002. The team has lost six straight series against India since then.
At the close, after 75 overs were squeezed in around two lengthy rain interruptions, the West Indies were 207 for six with Denesh Ramdin on 23 and Carlos Brathwaite not out 35 after winning the toss.
Star all-rounder Kieron Pollard will lead the Trinidad side whereas Darren Sammy will lead the Caribbean Select XI.
Leg-spinner Yasir Shah took six second-innings wickets in Pakistan's crushing 133-run second Test win over West Indies in Abu Dhabi on Tuesday as they took an unbeatable 2-0 lead in the three-match series. - Scorecard: The wily spinner finished with 6-124 to secure his second ten-wicket haul in Test cricket after claiming four wickets in the first innings as West Indies were bowled out for 322 before tea on a weary fifth and final day pitch at Sheikh Zayed Stadium.
His back-foot play off the pacers was a treat to the eyes and when the spinners were deployed, he was not afraid to use the long handle.
With Jason Holder's men just about managing to draw the three-match ODI series against Afghanistan 1-1, there is no doubt that the current Indian team are a few notches ahead in terms of quality.
Captain Cook also hits form, strikes 125-run opening partnership with Trott -- England's first century opening stand since March 2013.
A confident India, with a new coach at the helm, will seek to record a third consecutive Test series triumph on the Caribbean soil when the Virat Kohli-led side clashes with an inexperienced West Indies in the first cricket match, in Antigua, on Thursday.
India will look to find the 'perfect' balance in their playing eleven when they take on a resurgent West Indies in the fourth One-day International in Mumbai on Monday. The decision to play with five specialist bowlers in Saturday's third ODI in Pune did not work for India and they ended up as the losing side for the first time in the home series against the West Indies.
Formidable India will hope to get more answers for their unsettled middle-order puzzle when they take on a reeling West Indies in the five-match ODI series, starting Sunday and ticking off the home team's countdown to the 2019 World Cup.
The West Indies bowling could have been taken to the cleaners, but the skipper hit only 10 fours in his knock -- significantly less than Shaw's 19 boundaries and Pujara's 14 hits.
Opener Dimuth Karunaratne missed out on a maiden double hundred but his 238-run stand with fellow centurion Dinesh Chandimal set up Sri Lanka's first-innings total of 484 on day two against West Indies in the opening test at Galle on Thursday.
A second-string West Indies which never looked like challenging India enough in this series, scored a modest 189 for nine, but sluggish batting by the visitors specially Mahendra Singh Dhoni (54 off 114 balls) turned it into a winning total.
Kusal Mendis led a strong Sri Lankan second innings effort but the West Indies still held the advantage at stumps on day four of the first Test at the Queen's Park Oval in Trinidad on Saturday. Set a daunting target of 453 when the hosts declared their second innings at 223 for seven just after lunch, the visitors reached 176 for three by the close with Mendis unbeaten on 94.
West Indies have lost their last four Tests, two to Australia and two to Sri Lanka, and have not enjoyed a single win in Australia since the 1996-97 tour.
Mahendra Singh Dhoni's late assault and some fine bowling by the spinners saw India crush West Indies by 93 runs in the third One-Day International at North Sound in Antigua, on Friday.
The wily left-arm spinner picked up four wickets on the third day to complete his 23rd five-wicket haul in Tests.
'I was not thinking about it as my first game, I was just thinking that it's another game and it just happened.'
Who was the most valuable player of the India-West Indies ODI series?
Australia batsman Adam Voges produced a Man of the Match performance as they emphatically beat West Indies by nine wickets in the first Test in Dominica on Friday
While Ajinkya Rahane always scores good runs, he seldom scores them quickly enough. And he doesn't bowl, although he is a handy fielder. Srinivas Bhogle and Purnendu Maji assess the India-West Indies ODI series.
India recovered to 234 for five at stumps on Day One of the third Test against the West Indies, courtesy an unbeaten 108-run stand between Ravichandran Ashwin and Wriddhiman Saha.
Shikhar Dhawan has always had the uncanny knack of producing goods when the chips are down which he attributes to his 'big heart' and the 'backing' he has got from skipper Virat Kohli and coach Anil Kumble.
On a high after sealing the series with comprehensive victories, an upbeat India will be aiming to complete a 3-0 rout in order to retain it's No 1 Test ranking, when they meet a listless West Indies in the final Test match of the series in Port of Spain on Thursday. Having already taken an unassailable 2-0 lead in the four-match series after their crushing 237-run win in the third Test, Virat Kohli and his men will be aiming to go for the kill and keep their top ranking in Test. India were reinstated as the No.1 Test side after Australia 0-3 whitewash at the hands of Sri Lanka.
Stung by a remarkable fightback from West Indies on the final day of the rain-hit second Test, India will have to look at their bowling combinations and get back to winning ways when the third cricket Test begins in St. Lucia, on Tuesday.