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Finding the Fourth Proportional to 24.34, 36.33 and 20.96

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Solution

The fourth proportional to 24.34, 36.33 and 20.96 is: 31.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.34 : 36.33 = 20.96 : x
  2. Step 2: Convert to fraction form
    24.34/36.33 = 20.96/x
  3. Step 3: Cross multiply
    24.34x = 36.33 × 20.96
  4. Step 4: Simplify right side
    24.34x = 761.48
  5. Step 5: Solve for x
    x = 761.48/24.34
  6. Step 6: Final answer
    x = 31.28

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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.