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Finding the Fourth Proportional to 24.32, 33.57 and 20.90

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Solution

The fourth proportional to 24.32, 33.57 and 20.90 is: 28.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.32 : 33.57 = 20.90 : x
  2. Step 2: Convert to fraction form
    24.32/33.57 = 20.90/x
  3. Step 3: Cross multiply
    24.32x = 33.57 × 20.90
  4. Step 4: Simplify right side
    24.32x = 701.70
  5. Step 5: Solve for x
    x = 701.70/24.32
  6. Step 6: Final answer
    x = 28.85

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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.