Abstract: A method and apparatus for accommodating a saddle on the back of a horse whose anatomy does not conform to the shape of the saddle in that the lengths of its leg bones are different causing its scapulae to be at different heights. The apparatus includes inflatable chambers that are supported on the back of a horse under the saddle at predetermined regions over the scapula, the ribs adjacent thereto and the overlying muscles and that are independently inflatable to transfer part of the weight of the saddle and a rider from the scapula to the adjacent ribs and overlying muscles thereby to distribute the load more evenly between the scapula and adjacent ribs and muscles and also to level the saddle. The chambers have air valves accessible to the rider so that inflation of the chambers can be adjusted by a rider while in the saddle.