The game was a dead rubber with England having already won the opening three matches of the five-match series
Chasing a target of 183 to win, England opener Phil Salt guided the tourists home with 19 balls to spare after a dazzling unbeaten 103 in Bridgetown
With all 10 teams allowed to retain a maximum of six players, RCB have reportedly finalised the retention of star batter and former captain Virat Kohli.
England slumped to 11-2, chasing 305 to win, after Mitchell Starc removed openers Phil Salt (nought) and Ben Duckett (eight) in the space of four balls.
India face England in the 2024 T20 World Cup semi-final in Guyana, in a rematch of the 2022 edition.
Will Jacks hopes to put the on-field "coaching" he received from Virat Kohli to good use when England bid to retain their T20 World Cup title next month.
England comfortably won the second match of the series by 23 runs. The first T20I was washed out due to rain.
The IPL 2024 playoffs will not have any England cricketer competing who are part of the T20 World Cup 2024 squad as they were called back by the England Cricket Board (ECB) for a training camp ahead of the competition.
Several top stars including for teams like Rajasthan Royals, Royal Challenger Bengaluru, Punjab Kings have left the IPL 2024
Royal Challengers Bengaluru bowled and fielded brilliantly to beat Delhi Capitals by 47 runs here to keep their IPL play-off hopes alive on Sunday.