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Finding the Fourth Proportional to 391.50, 539.06 and 349.92

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Solution

The fourth proportional to 391.50, 539.06 and 349.92 is: 481.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.50 : 539.06 = 349.92 : x
  2. Step 2: Convert to fraction form
    391.50/539.06 = 349.92/x
  3. Step 3: Cross multiply
    391.50x = 539.06 × 349.92
  4. Step 4: Simplify right side
    391.50x = 188,626.13
  5. Step 5: Solve for x
    x = 188,626.13/391.50
  6. Step 6: Final answer
    x = 481.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.