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Finding the Fourth Proportional to 392.72, 586.17 and 351.61

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Solution

The fourth proportional to 392.72, 586.17 and 351.61 is: 524.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.72 : 586.17 = 351.61 : x
  2. Step 2: Convert to fraction form
    392.72/586.17 = 351.61/x
  3. Step 3: Cross multiply
    392.72x = 586.17 × 351.61
  4. Step 4: Simplify right side
    392.72x = 206,101.77
  5. Step 5: Solve for x
    x = 206,101.77/392.72
  6. Step 6: Final answer
    x = 524.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.