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Finding the Fourth Proportional to 69.93, 104.89 and 24.28

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Solution

The fourth proportional to 69.93, 104.89 and 24.28 is: 36.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.93 : 104.89 = 24.28 : x
  2. Step 2: Convert to fraction form
    69.93/104.89 = 24.28/x
  3. Step 3: Cross multiply
    69.93x = 104.89 × 24.28
  4. Step 4: Simplify right side
    69.93x = 2,546.73
  5. Step 5: Solve for x
    x = 2,546.73/69.93
  6. Step 6: Final answer
    x = 36.42

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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.