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Finding the Fourth Proportional to 499.30, 748.18 and 342.92

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Solution

The fourth proportional to 499.30, 748.18 and 342.92 is: 513.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.30 : 748.18 = 342.92 : x
  2. Step 2: Convert to fraction form
    499.30/748.18 = 342.92/x
  3. Step 3: Cross multiply
    499.30x = 748.18 × 342.92
  4. Step 4: Simplify right side
    499.30x = 256,565.89
  5. Step 5: Solve for x
    x = 256,565.89/499.30
  6. Step 6: Final answer
    x = 513.85

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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.