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Finding the Fourth Proportional to 20.23, 27.87 and 19.39

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Solution

The fourth proportional to 20.23, 27.87 and 19.39 is: 26.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.23 : 27.87 = 19.39 : x
  2. Step 2: Convert to fraction form
    20.23/27.87 = 19.39/x
  3. Step 3: Cross multiply
    20.23x = 27.87 × 19.39
  4. Step 4: Simplify right side
    20.23x = 540.40
  5. Step 5: Solve for x
    x = 540.40/20.23
  6. Step 6: Final answer
    x = 26.71

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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.