Finding the Fourth Proportional to 392.28, 588.14 and 197.14
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Solution
The fourth proportional to 392.28, 588.14 and 197.14 is: 295.56
Step by Step Solution
- Step 1: Write the proportion equation
392.28 : 588.14 = 197.14 : x - Step 2: Convert to fraction form
392.28/588.14 = 197.14/x - Step 3: Cross multiply
392.28x = 588.14 × 197.14 - Step 4: Simplify right side
392.28x = 115,941.99 - Step 5: Solve for x
x = 115,941.99/392.28 - Step 6: Final answer
x = 295.56
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.