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Finding the Fourth Proportional to 24.11, 36.20 and 20.13

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Solution

The fourth proportional to 24.11, 36.20 and 20.13 is: 30.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.11 : 36.20 = 20.13 : x
  2. Step 2: Convert to fraction form
    24.11/36.20 = 20.13/x
  3. Step 3: Cross multiply
    24.11x = 36.20 × 20.13
  4. Step 4: Simplify right side
    24.11x = 728.71
  5. Step 5: Solve for x
    x = 728.71/24.11
  6. Step 6: Final answer
    x = 30.22

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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.