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Finding the Fourth Proportional to 49.92, 69.18 and 40.32

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Solution

The fourth proportional to 49.92, 69.18 and 40.32 is: 55.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.92 : 69.18 = 40.32 : x
  2. Step 2: Convert to fraction form
    49.92/69.18 = 40.32/x
  3. Step 3: Cross multiply
    49.92x = 69.18 × 40.32
  4. Step 4: Simplify right side
    49.92x = 2,789.34
  5. Step 5: Solve for x
    x = 2,789.34/49.92
  6. Step 6: Final answer
    x = 55.88

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.