Final answer:
A plant with protoderm, ground meristem, and procambium but without lateral meristems undergoes primary growth, indicating it is likely a herbaceous plant which grows in length or height, not girth.
Step-by-step explanation:
A plant that produces protoderm, ground meristem, and procambium, but does not produce lateral meristems, undergoes primary growth. These three types of meristems are fundamental for the growth in length or height, contributing to the development of the epidermis, ground tissue, and new xylem and phloem, respectively. However, without lateral meristems such as vascular cambium and cork cambium, the plant is incapable of secondary growth, which is associated with an increase in girth and is typical in woody plants.
Since the plant in question does not produce lateral meristems, we can infer that it is likely a herbaceous plant. Herbaceous plants do not have secondary growth and rely solely on primary growth for their development. This type of growth occurs through the function of the apical meristems at the tips of roots and shoots, and at the location where branches will develop.