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Finding the Fourth Proportional to 109.29, 163.97 and 54.49

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Solution

The fourth proportional to 109.29, 163.97 and 54.49 is: 81.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.29 : 163.97 = 54.49 : x
  2. Step 2: Convert to fraction form
    109.29/163.97 = 54.49/x
  3. Step 3: Cross multiply
    109.29x = 163.97 × 54.49
  4. Step 4: Simplify right side
    109.29x = 8,934.86
  5. Step 5: Solve for x
    x = 8,934.86/109.29
  6. Step 6: Final answer
    x = 81.75

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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.