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Finding the Fourth Proportional to 112.18, 169.36 and 111.57

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Solution

The fourth proportional to 112.18, 169.36 and 111.57 is: 168.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.18 : 169.36 = 111.57 : x
  2. Step 2: Convert to fraction form
    112.18/169.36 = 111.57/x
  3. Step 3: Cross multiply
    112.18x = 169.36 × 111.57
  4. Step 4: Simplify right side
    112.18x = 18,894.94
  5. Step 5: Solve for x
    x = 18,894.94/112.18
  6. Step 6: Final answer
    x = 168.43

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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.