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Finding the Fourth Proportional to 24.27, 33.48 and 20.59

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Solution

The fourth proportional to 24.27, 33.48 and 20.59 is: 28.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.27 : 33.48 = 20.59 : x
  2. Step 2: Convert to fraction form
    24.27/33.48 = 20.59/x
  3. Step 3: Cross multiply
    24.27x = 33.48 × 20.59
  4. Step 4: Simplify right side
    24.27x = 689.25
  5. Step 5: Solve for x
    x = 689.25/24.27
  6. Step 6: Final answer
    x = 28.41

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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.