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Finding the Fourth Proportional to 21.86, 32.80 and 11.18

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Solution

The fourth proportional to 21.86, 32.80 and 11.18 is: 16.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.86 : 32.80 = 11.18 : x
  2. Step 2: Convert to fraction form
    21.86/32.80 = 11.18/x
  3. Step 3: Cross multiply
    21.86x = 32.80 × 11.18
  4. Step 4: Simplify right side
    21.86x = 366.70
  5. Step 5: Solve for x
    x = 366.70/21.86
  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.