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Finding the Fourth Proportional to 498.51, 748.12 and 267.57

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Solution

The fourth proportional to 498.51, 748.12 and 267.57 is: 401.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.51 : 748.12 = 267.57 : x
  2. Step 2: Convert to fraction form
    498.51/748.12 = 267.57/x
  3. Step 3: Cross multiply
    498.51x = 748.12 × 267.57
  4. Step 4: Simplify right side
    498.51x = 200,170.58
  5. Step 5: Solve for x
    x = 200,170.58/498.51
  6. Step 6: Final answer
    x = 401.54

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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.