Finding the Fourth Proportional to 207.14, 285.84 and 118.64
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Solution
The fourth proportional to 207.14, 285.84 and 118.64 is: 163.71
Step by Step Solution
- Step 1: Write the proportion equation
207.14 : 285.84 = 118.64 : x - Step 2: Convert to fraction form
207.14/285.84 = 118.64/x - Step 3: Cross multiply
207.14x = 285.84 × 118.64 - Step 4: Simplify right side
207.14x = 33,910.63 - Step 5: Solve for x
x = 33,910.63/207.14 - Step 6: Final answer
x = 163.71
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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.