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Finding the Fourth Proportional to 109.53, 163.17 and 104.27

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Solution

The fourth proportional to 109.53, 163.17 and 104.27 is: 155.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.53 : 163.17 = 104.27 : x
  2. Step 2: Convert to fraction form
    109.53/163.17 = 104.27/x
  3. Step 3: Cross multiply
    109.53x = 163.17 × 104.27
  4. Step 4: Simplify right side
    109.53x = 17,012.92
  5. Step 5: Solve for x
    x = 17,012.92/109.53
  6. Step 6: Final answer
    x = 155.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.