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Finding the Fourth Proportional to 49.97, 69.03 and 40.82

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Solution

The fourth proportional to 49.97, 69.03 and 40.82 is: 56.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.97 : 69.03 = 40.82 : x
  2. Step 2: Convert to fraction form
    49.97/69.03 = 40.82/x
  3. Step 3: Cross multiply
    49.97x = 69.03 × 40.82
  4. Step 4: Simplify right side
    49.97x = 2,817.46
  5. Step 5: Solve for x
    x = 2,817.46/49.97
  6. Step 6: Final answer
    x = 56.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.