Please help I’m on the quiz and i dont know how to answer it

Answer:
[tex]a = 5 \frac{1}{3} \: units[/tex]
Step-by-step explanation:
By geometric mean theorem:
[tex] {4}^{2} = 3 \times a \\ \\ \implies \: 16 = 3a \\ \\ \implies \: a = \frac{16}{3} \\ \\ \implies \: a = 5 \frac{1}{3} [/tex]