Finding the Fourth Proportional to 207.24, 285.96 and 163.56
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Solution
The fourth proportional to 207.24, 285.96 and 163.56 is: 225.69
Step by Step Solution
- Step 1: Write the proportion equation
207.24 : 285.96 = 163.56 : x - Step 2: Convert to fraction form
207.24/285.96 = 163.56/x - Step 3: Cross multiply
207.24x = 285.96 × 163.56 - Step 4: Simplify right side
207.24x = 46,771.62 - Step 5: Solve for x
x = 46,771.62/207.24 - Step 6: Final answer
x = 225.69
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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.