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Finding the Fourth Proportional to 20.96, 29.06 and 19.79

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Solution

The fourth proportional to 20.96, 29.06 and 19.79 is: 27.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.96 : 29.06 = 19.79 : x
  2. Step 2: Convert to fraction form
    20.96/29.06 = 19.79/x
  3. Step 3: Cross multiply
    20.96x = 29.06 × 19.79
  4. Step 4: Simplify right side
    20.96x = 574.85
  5. Step 5: Solve for x
    x = 574.85/20.96
  6. Step 6: Final answer
    x = 27.43

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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.