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Finding the Fourth Proportional to 499.24, 748.76 and 280.09

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Solution

The fourth proportional to 499.24, 748.76 and 280.09 is: 420.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.24 : 748.76 = 280.09 : x
  2. Step 2: Convert to fraction form
    499.24/748.76 = 280.09/x
  3. Step 3: Cross multiply
    499.24x = 748.76 × 280.09
  4. Step 4: Simplify right side
    499.24x = 209,717.97
  5. Step 5: Solve for x
    x = 209,717.97/499.24
  6. Step 6: Final answer
    x = 420.07

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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.