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Finding the Fourth Proportional to 499.47, 748.19 and 252.52

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Solution

The fourth proportional to 499.47, 748.19 and 252.52 is: 378.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.47 : 748.19 = 252.52 : x
  2. Step 2: Convert to fraction form
    499.47/748.19 = 252.52/x
  3. Step 3: Cross multiply
    499.47x = 748.19 × 252.52
  4. Step 4: Simplify right side
    499.47x = 188,932.94
  5. Step 5: Solve for x
    x = 188,932.94/499.47
  6. Step 6: Final answer
    x = 378.27

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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.