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Finding the Fourth Proportional to 118.56, 162.92 and 113.20

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Solution

The fourth proportional to 118.56, 162.92 and 113.20 is: 155.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.56 : 162.92 = 113.20 : x
  2. Step 2: Convert to fraction form
    118.56/162.92 = 113.20/x
  3. Step 3: Cross multiply
    118.56x = 162.92 × 113.20
  4. Step 4: Simplify right side
    118.56x = 18,442.54
  5. Step 5: Solve for x
    x = 18,442.54/118.56
  6. Step 6: Final answer
    x = 155.55

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.