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Finding the Fourth Proportional to 24.97, 37.28 and 20.69

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Solution

The fourth proportional to 24.97, 37.28 and 20.69 is: 30.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.97 : 37.28 = 20.69 : x
  2. Step 2: Convert to fraction form
    24.97/37.28 = 20.69/x
  3. Step 3: Cross multiply
    24.97x = 37.28 × 20.69
  4. Step 4: Simplify right side
    24.97x = 771.31
  5. Step 5: Solve for x
    x = 771.31/24.97
  6. Step 6: Final answer
    x = 30.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.