Brathwaite, Dowrich struck unbeaten half-centuries to guide West Indies to a first test victory in 14 matches in Sharjah on Thursday.
Brathwaite and Dowrich shared a vital stand of 47 for the 6th wicket as the visitors ended Day 4 at 114 for 5.
Pakistan were 87-4 in their second innings at close on the third day of the third and final Test against West Indies in Sharjah on Tuesday.
West Indies were 244-6 at close on the second day of the third and final Test against Pakistan in Sharjah on Monday.
Pakistan on the back foot at 255-8 by close of play at the Sharjah stadium.
Pakistan beat West Indies by 133-run in 2nd Test after Yasir Shah picks up six-fer, takes unassailable 2-0 lead.
West Indies, set a target of 456 to win, closed the fourth day of the second Test against Pakistan on 171-4 in Abu Dhabi on Monday.
Pakistan were 114-1 at the close of play on the third day, lead by 342 in the second Test against the West Indies in Abu Dhabi on Sunday.
Pakistan piled up 452 runs and reduced West Indies to 106 for four to take control of the second test in Abu Dhabi on the second day on Saturday.
Pakistan, ended the opening day of the second Test against the West Indies on 304-4 in Abu Dhabi on Friday.