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Finding the Fourth Proportional to 499.01, 748.28 and 267.86

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Solution

The fourth proportional to 499.01, 748.28 and 267.86 is: 401.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.01 : 748.28 = 267.86 : x
  2. Step 2: Convert to fraction form
    499.01/748.28 = 267.86/x
  3. Step 3: Cross multiply
    499.01x = 748.28 × 267.86
  4. Step 4: Simplify right side
    499.01x = 200,429.20
  5. Step 5: Solve for x
    x = 200,429.20/499.01
  6. Step 6: Final answer
    x = 401.66

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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.