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Finding the Fourth Proportional to 20.61, 28.42 and 17.71

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Solution

The fourth proportional to 20.61, 28.42 and 17.71 is: 24.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.61 : 28.42 = 17.71 : x
  2. Step 2: Convert to fraction form
    20.61/28.42 = 17.71/x
  3. Step 3: Cross multiply
    20.61x = 28.42 × 17.71
  4. Step 4: Simplify right side
    20.61x = 503.32
  5. Step 5: Solve for x
    x = 503.32/20.61
  6. Step 6: Final answer
    x = 24.42

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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.