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Finding the Fourth Proportional to 112.19, 169.28 and 107.97

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Solution

The fourth proportional to 112.19, 169.28 and 107.97 is: 162.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.19 : 169.28 = 107.97 : x
  2. Step 2: Convert to fraction form
    112.19/169.28 = 107.97/x
  3. Step 3: Cross multiply
    112.19x = 169.28 × 107.97
  4. Step 4: Simplify right side
    112.19x = 18,276.39
  5. Step 5: Solve for x
    x = 18,276.39/112.19
  6. Step 6: Final answer
    x = 162.91

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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.