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Finding the Fourth Proportional to 112.27, 169.18 and 92.43

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Solution

The fourth proportional to 112.27, 169.18 and 92.43 is: 139.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.27 : 169.18 = 92.43 : x
  2. Step 2: Convert to fraction form
    112.27/169.18 = 92.43/x
  3. Step 3: Cross multiply
    112.27x = 169.18 × 92.43
  4. Step 4: Simplify right side
    112.27x = 15,637.31
  5. Step 5: Solve for x
    x = 15,637.31/112.27
  6. Step 6: Final answer
    x = 139.28

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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.