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Finding the Fourth Proportional to 267.79, 401.72 and 85.12

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Solution

The fourth proportional to 267.79, 401.72 and 85.12 is: 127.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.79 : 401.72 = 85.12 : x
  2. Step 2: Convert to fraction form
    267.79/401.72 = 85.12/x
  3. Step 3: Cross multiply
    267.79x = 401.72 × 85.12
  4. Step 4: Simplify right side
    267.79x = 34,194.41
  5. Step 5: Solve for x
    x = 34,194.41/267.79
  6. Step 6: Final answer
    x = 127.69

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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.