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Finding the Fourth Proportional to 267.14, 400.52 and 122.78

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Solution

The fourth proportional to 267.14, 400.52 and 122.78 is: 184.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.14 : 400.52 = 122.78 : x
  2. Step 2: Convert to fraction form
    267.14/400.52 = 122.78/x
  3. Step 3: Cross multiply
    267.14x = 400.52 × 122.78
  4. Step 4: Simplify right side
    267.14x = 49,174.15
  5. Step 5: Solve for x
    x = 49,174.15/267.14
  6. Step 6: Final answer
    x = 184.08

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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.