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Finding the Fourth Proportional to 499.02, 748.47 and 133.78

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Solution

The fourth proportional to 499.02, 748.47 and 133.78 is: 200.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.02 : 748.47 = 133.78 : x
  2. Step 2: Convert to fraction form
    499.02/748.47 = 133.78/x
  3. Step 3: Cross multiply
    499.02x = 748.47 × 133.78
  4. Step 4: Simplify right side
    499.02x = 100,128.21
  5. Step 5: Solve for x
    x = 100,128.21/499.02
  6. Step 6: Final answer
    x = 200.65

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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.