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Finding the Fourth Proportional to 20.47, 28.24 and 14.34

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Solution

The fourth proportional to 20.47, 28.24 and 14.34 is: 19.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.47 : 28.24 = 14.34 : x
  2. Step 2: Convert to fraction form
    20.47/28.24 = 14.34/x
  3. Step 3: Cross multiply
    20.47x = 28.24 × 14.34
  4. Step 4: Simplify right side
    20.47x = 404.96
  5. Step 5: Solve for x
    x = 404.96/20.47
  6. Step 6: Final answer
    x = 19.78

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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.