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Finding the Fourth Proportional to 394.41, 590.97 and 329.61

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Solution

The fourth proportional to 394.41, 590.97 and 329.61 is: 493.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.41 : 590.97 = 329.61 : x
  2. Step 2: Convert to fraction form
    394.41/590.97 = 329.61/x
  3. Step 3: Cross multiply
    394.41x = 590.97 × 329.61
  4. Step 4: Simplify right side
    394.41x = 194,789.62
  5. Step 5: Solve for x
    x = 194,789.62/394.41
  6. Step 6: Final answer
    x = 493.88

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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.