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Finding the Fourth Proportional to 20.36, 30.49 and 11.21

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Solution

The fourth proportional to 20.36, 30.49 and 11.21 is: 16.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.36 : 30.49 = 11.21 : x
  2. Step 2: Convert to fraction form
    20.36/30.49 = 11.21/x
  3. Step 3: Cross multiply
    20.36x = 30.49 × 11.21
  4. Step 4: Simplify right side
    20.36x = 341.73
  5. Step 5: Solve for x
    x = 341.73/20.36
  6. Step 6: Final answer
    x = 16.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.