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Finding the Fourth Proportional to 499.52, 748.77 and 225.81

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Solution

The fourth proportional to 499.52, 748.77 and 225.81 is: 338.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.52 : 748.77 = 225.81 : x
  2. Step 2: Convert to fraction form
    499.52/748.77 = 225.81/x
  3. Step 3: Cross multiply
    499.52x = 748.77 × 225.81
  4. Step 4: Simplify right side
    499.52x = 169,076.01
  5. Step 5: Solve for x
    x = 169,076.01/499.52
  6. Step 6: Final answer
    x = 338.48

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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.