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Finding the Fourth Proportional to 24.76, 34.20 and 20.44

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Solution

The fourth proportional to 24.76, 34.20 and 20.44 is: 28.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.76 : 34.20 = 20.44 : x
  2. Step 2: Convert to fraction form
    24.76/34.20 = 20.44/x
  3. Step 3: Cross multiply
    24.76x = 34.20 × 20.44
  4. Step 4: Simplify right side
    24.76x = 699.05
  5. Step 5: Solve for x
    x = 699.05/24.76
  6. Step 6: Final answer
    x = 28.23

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Find fourth proportional to 12.38, 17.10 and 10.22
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1.5x scale

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.