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Finding the Fourth Proportional to 33.90, 50.85 and 13.61

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Solution

The fourth proportional to 33.90, 50.85 and 13.61 is: 20.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.90 : 50.85 = 13.61 : x
  2. Step 2: Convert to fraction form
    33.90/50.85 = 13.61/x
  3. Step 3: Cross multiply
    33.90x = 50.85 × 13.61
  4. Step 4: Simplify right side
    33.90x = 691.81
  5. Step 5: Solve for x
    x = 691.81/33.90
  6. Step 6: Final answer
    x = 20.41

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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.