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Finding the Fourth Proportional to 112.38, 169.26 and 105.18

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Solution

The fourth proportional to 112.38, 169.26 and 105.18 is: 158.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.38 : 169.26 = 105.18 : x
  2. Step 2: Convert to fraction form
    112.38/169.26 = 105.18/x
  3. Step 3: Cross multiply
    112.38x = 169.26 × 105.18
  4. Step 4: Simplify right side
    112.38x = 17,802.77
  5. Step 5: Solve for x
    x = 17,802.77/112.38
  6. Step 6: Final answer
    x = 158.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.