The 17-year-old was part of the 4x200m relay team that took third spot in Thursday’s final which saw a thrilling race won by the USA.
Guy had gone out in 1:46.31 for the opening leg, with Whittle following him with 1:46.84 to ensure GB were fourth at the half way stage of the racc.
Litchfield then swam 1:47.36 as his team dropped to fifth, but Dean’s superb 1:43.52 – the fastest split of the race – saw him overtake the Brazilian and Korean swimmers to seal the bronze medal.
The team’s time of 7:04.00 was 3.76 seconds behind the US and set a new British record.
Whittle also produced a terrific swim in the semi-finals of the 100m freestyle, having qualified seventh fastest overall from his heat with a time of 48.23.
His semi-final time of 48.19 only just outside his lifetime best and seeing him finish fifth in his race – equal 12th overall – and unlucky to miss out on a final spot.
Earlier in the week, Whittle was also part of the 4x100m freestyle relay team that finished just outside the medal places as they claimed fourth spot in the final, 0.19 seconds behind Italy in third.
Whittle has one event remaining, the mixed 4x100m freestyle relay final which takes place on Friday evening, with Team GB having qualified sixth fastest.