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Finding the Fourth Proportional to 267.29, 400.86 and 84.64

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Solution

The fourth proportional to 267.29, 400.86 and 84.64 is: 126.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.29 : 400.86 = 84.64 : x
  2. Step 2: Convert to fraction form
    267.29/400.86 = 84.64/x
  3. Step 3: Cross multiply
    267.29x = 400.86 × 84.64
  4. Step 4: Simplify right side
    267.29x = 33,928.79
  5. Step 5: Solve for x
    x = 33,928.79/267.29
  6. Step 6: Final answer
    x = 126.94

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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.