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Finding the Fourth Proportional to 118.44, 163.38 and 83.56

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Solution

The fourth proportional to 118.44, 163.38 and 83.56 is: 115.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.44 : 163.38 = 83.56 : x
  2. Step 2: Convert to fraction form
    118.44/163.38 = 83.56/x
  3. Step 3: Cross multiply
    118.44x = 163.38 × 83.56
  4. Step 4: Simplify right side
    118.44x = 13,652.03
  5. Step 5: Solve for x
    x = 13,652.03/118.44
  6. Step 6: Final answer
    x = 115.27

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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.