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Finding the Fourth Proportional to 267.95, 402.12 and 137.88

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Solution

The fourth proportional to 267.95, 402.12 and 137.88 is: 206.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.95 : 402.12 = 137.88 : x
  2. Step 2: Convert to fraction form
    267.95/402.12 = 137.88/x
  3. Step 3: Cross multiply
    267.95x = 402.12 × 137.88
  4. Step 4: Simplify right side
    267.95x = 55,444.31
  5. Step 5: Solve for x
    x = 55,444.31/267.95
  6. Step 6: Final answer
    x = 206.92

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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.