Finding the Fourth Proportional to 338.70, 507.84 and 201.78
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Solution
The fourth proportional to 338.70, 507.84 and 201.78 is: 302.54
Step by Step Solution
- Step 1: Write the proportion equation
338.70 : 507.84 = 201.78 : x - Step 2: Convert to fraction form
338.70/507.84 = 201.78/x - Step 3: Cross multiply
338.70x = 507.84 × 201.78 - Step 4: Simplify right side
338.70x = 102,471.96 - Step 5: Solve for x
x = 102,471.96/338.70 - Step 6: Final answer
x = 302.54
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.