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Finding the Fourth Proportional to 138.96, 207.82 and 106.09

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Solution

The fourth proportional to 138.96, 207.82 and 106.09 is: 158.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.96 : 207.82 = 106.09 : x
  2. Step 2: Convert to fraction form
    138.96/207.82 = 106.09/x
  3. Step 3: Cross multiply
    138.96x = 207.82 × 106.09
  4. Step 4: Simplify right side
    138.96x = 22,047.62
  5. Step 5: Solve for x
    x = 22,047.62/138.96
  6. Step 6: Final answer
    x = 158.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.