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Finding the Fourth Proportional to 267.96, 402.08 and 130.92

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Solution

The fourth proportional to 267.96, 402.08 and 130.92 is: 196.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.96 : 402.08 = 130.92 : x
  2. Step 2: Convert to fraction form
    267.96/402.08 = 130.92/x
  3. Step 3: Cross multiply
    267.96x = 402.08 × 130.92
  4. Step 4: Simplify right side
    267.96x = 52,640.31
  5. Step 5: Solve for x
    x = 52,640.31/267.96
  6. Step 6: Final answer
    x = 196.45

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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.