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Finding the Fourth Proportional to 498.48, 748.17 and 267.56

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Solution

The fourth proportional to 498.48, 748.17 and 267.56 is: 401.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.48 : 748.17 = 267.56 : x
  2. Step 2: Convert to fraction form
    498.48/748.17 = 267.56/x
  3. Step 3: Cross multiply
    498.48x = 748.17 × 267.56
  4. Step 4: Simplify right side
    498.48x = 200,176.62
  5. Step 5: Solve for x
    x = 200,176.62/498.48
  6. Step 6: Final answer
    x = 401.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.