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Finding the Fourth Proportional to 112.28, 167.15 and 111.60

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Solution

The fourth proportional to 112.28, 167.15 and 111.60 is: 166.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.28 : 167.15 = 111.60 : x
  2. Step 2: Convert to fraction form
    112.28/167.15 = 111.60/x
  3. Step 3: Cross multiply
    112.28x = 167.15 × 111.60
  4. Step 4: Simplify right side
    112.28x = 18,654.22
  5. Step 5: Solve for x
    x = 18,654.22/112.28
  6. Step 6: Final answer
    x = 166.15

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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.