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Finding the Fourth Proportional to 118.20, 163.12 and 74.56

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Solution

The fourth proportional to 118.20, 163.12 and 74.56 is: 102.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.20 : 163.12 = 74.56 : x
  2. Step 2: Convert to fraction form
    118.20/163.12 = 74.56/x
  3. Step 3: Cross multiply
    118.20x = 163.12 × 74.56
  4. Step 4: Simplify right side
    118.20x = 12,162.23
  5. Step 5: Solve for x
    x = 12,162.23/118.20
  6. Step 6: Final answer
    x = 102.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.