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Finding the Fourth Proportional to 392.38, 587.68 and 362.41

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Solution

The fourth proportional to 392.38, 587.68 and 362.41 is: 542.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.38 : 587.68 = 362.41 : x
  2. Step 2: Convert to fraction form
    392.38/587.68 = 362.41/x
  3. Step 3: Cross multiply
    392.38x = 587.68 × 362.41
  4. Step 4: Simplify right side
    392.38x = 212,981.11
  5. Step 5: Solve for x
    x = 212,981.11/392.38
  6. Step 6: Final answer
    x = 542.79

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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.