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Finding the Fourth Proportional to 112.01, 167.29 and 91.49

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Solution

The fourth proportional to 112.01, 167.29 and 91.49 is: 136.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.01 : 167.29 = 91.49 : x
  2. Step 2: Convert to fraction form
    112.01/167.29 = 91.49/x
  3. Step 3: Cross multiply
    112.01x = 167.29 × 91.49
  4. Step 4: Simplify right side
    112.01x = 15,304.30
  5. Step 5: Solve for x
    x = 15,304.30/112.01
  6. Step 6: Final answer
    x = 136.64

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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.