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Finding the Fourth Proportional to 20.27, 28.09 and 19.91

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Solution

The fourth proportional to 20.27, 28.09 and 19.91 is: 27.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.27 : 28.09 = 19.91 : x
  2. Step 2: Convert to fraction form
    20.27/28.09 = 19.91/x
  3. Step 3: Cross multiply
    20.27x = 28.09 × 19.91
  4. Step 4: Simplify right side
    20.27x = 559.27
  5. Step 5: Solve for x
    x = 559.27/20.27
  6. Step 6: Final answer
    x = 27.59

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.