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Finding the Fourth Proportional to 118.47, 163.47 and 74.24

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Solution

The fourth proportional to 118.47, 163.47 and 74.24 is: 102.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.47 : 163.47 = 74.24 : x
  2. Step 2: Convert to fraction form
    118.47/163.47 = 74.24/x
  3. Step 3: Cross multiply
    118.47x = 163.47 × 74.24
  4. Step 4: Simplify right side
    118.47x = 12,135.20
  5. Step 5: Solve for x
    x = 12,135.20/118.47
  6. Step 6: Final answer
    x = 102.43

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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.