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We show that linear Regge trajectories for mesons and glueballs, and the cubic mass spectrum associated with them, determine a relation between the masses of the \rho meson and the scalar glueball, M(0^{++})=3/\sqrt{2} M(\rho ), which implies M(0^{++})=1620\pm 10 MeV. We also discuss relations between the masses of the scalar and tensor and 3^{–} glueballs, M(2^{++})=\sqrt{2} M(0^{++}), M(3^{–})=2M(0^{++}), which imply M(2^{++})=2290\pm 15 MeV, M(3^{++})=3240\pm 20 MeV.

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