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Finding the Fourth Proportional to 267.24, 400.85 and 105.04

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Solution

The fourth proportional to 267.24, 400.85 and 105.04 is: 157.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.24 : 400.85 = 105.04 : x
  2. Step 2: Convert to fraction form
    267.24/400.85 = 105.04/x
  3. Step 3: Cross multiply
    267.24x = 400.85 × 105.04
  4. Step 4: Simplify right side
    267.24x = 42,105.28
  5. Step 5: Solve for x
    x = 42,105.28/267.24
  6. Step 6: Final answer
    x = 157.56

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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.