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Finding the Fourth Proportional to 138.96, 191.78 and 118.32

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Solution

The fourth proportional to 138.96, 191.78 and 118.32 is: 163.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.96 : 191.78 = 118.32 : x
  2. Step 2: Convert to fraction form
    138.96/191.78 = 118.32/x
  3. Step 3: Cross multiply
    138.96x = 191.78 × 118.32
  4. Step 4: Simplify right side
    138.96x = 22,691.30
  5. Step 5: Solve for x
    x = 22,691.30/138.96
  6. Step 6: Final answer
    x = 163.30

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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.