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Finding the Fourth Proportional to 267.72, 402.48 and 206.88

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Solution

The fourth proportional to 267.72, 402.48 and 206.88 is: 311.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.72 : 402.48 = 206.88 : x
  2. Step 2: Convert to fraction form
    267.72/402.48 = 206.88/x
  3. Step 3: Cross multiply
    267.72x = 402.48 × 206.88
  4. Step 4: Simplify right side
    267.72x = 83,265.06
  5. Step 5: Solve for x
    x = 83,265.06/267.72
  6. Step 6: Final answer
    x = 311.02

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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.