Methods of selecting and implanting prosthetic devices for use as a replacement meniscus are disclosed. The selection methods include a pre-implantation selection method and a during-implantation selection method. The pre-implantation selection method includes a direct geometrical matching process, a correlation parameters-based matching process, and a finite element-based matching process. The implant identified by the pre-implantation selection method is then confirmed to be a suitable implant in the during-implantation selection method. Methods of implanting meniscus prosthetic devices are also disclosed.