Final answer:
In order to maintain a ratio of 4 sunfish to 3 perch, if 300 sunfish are added to the pond, the park ranger should add 225 perch. This is calculated using a proportion based on the ratio given.
Step-by-step explanation:
The question presents a scenario where a park ranger is stocking a children's fishing pond and wants to keep a ratio of 4 sunfish to 3 perch. If 300 sunfish are added to the pond, we need to calculate how many perch should be added to maintain this ratio.
To solve this, let's set up a proportion. Since the ratio is 4 sunfish for every 3 perch, we can write the proportion as follows:
4 sunfish / 3 perch = 300 sunfish / x perch
To find the value of x (the number of perch), we cross-multiply:
4 * x = 300 * 3
x = (300 * 3) / 4
x = 900 / 4
x = 225
Therefore, the park ranger should stock 225 perch to maintain the desired ratio of sunfish to perch in the pond.