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Finding the Fourth Proportional to 392.38, 590.48 and 354.04

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Solution

The fourth proportional to 392.38, 590.48 and 354.04 is: 532.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.38 : 590.48 = 354.04 : x
  2. Step 2: Convert to fraction form
    392.38/590.48 = 354.04/x
  3. Step 3: Cross multiply
    392.38x = 590.48 × 354.04
  4. Step 4: Simplify right side
    392.38x = 209,053.54
  5. Step 5: Solve for x
    x = 209,053.54/392.38
  6. Step 6: Final answer
    x = 532.78

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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.