Finding the Fourth Proportional to 392.68, 588.21 and 284.14
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Solution
The fourth proportional to 392.68, 588.21 and 284.14 is: 425.62
Step by Step Solution
- Step 1: Write the proportion equation
392.68 : 588.21 = 284.14 : x - Step 2: Convert to fraction form
392.68/588.21 = 284.14/x - Step 3: Cross multiply
392.68x = 588.21 × 284.14 - Step 4: Simplify right side
392.68x = 167,133.99 - Step 5: Solve for x
x = 167,133.99/392.68 - Step 6: Final answer
x = 425.62
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.