Finding the Fourth Proportional to 207.97, 286.97 and 114.70
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Solution
The fourth proportional to 207.97, 286.97 and 114.70 is: 158.27
Step by Step Solution
- Step 1: Write the proportion equation
207.97 : 286.97 = 114.70 : x - Step 2: Convert to fraction form
207.97/286.97 = 114.70/x - Step 3: Cross multiply
207.97x = 286.97 × 114.70 - Step 4: Simplify right side
207.97x = 32,915.46 - Step 5: Solve for x
x = 32,915.46/207.97 - Step 6: Final answer
x = 158.27
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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.