Finding the Fourth Proportional to 207.28, 285.96 and 163.44
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Solution
The fourth proportional to 207.28, 285.96 and 163.44 is: 225.48
Step by Step Solution
- Step 1: Write the proportion equation
207.28 : 285.96 = 163.44 : x - Step 2: Convert to fraction form
207.28/285.96 = 163.44/x - Step 3: Cross multiply
207.28x = 285.96 × 163.44 - Step 4: Simplify right side
207.28x = 46,737.30 - Step 5: Solve for x
x = 46,737.30/207.28 - Step 6: Final answer
x = 225.48
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.