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Finding the Fourth Proportional to 138.82, 206.77 and 131.80

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Solution

The fourth proportional to 138.82, 206.77 and 131.80 is: 196.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.82 : 206.77 = 131.80 : x
  2. Step 2: Convert to fraction form
    138.82/206.77 = 131.80/x
  3. Step 3: Cross multiply
    138.82x = 206.77 × 131.80
  4. Step 4: Simplify right side
    138.82x = 27,251.93
  5. Step 5: Solve for x
    x = 27,251.93/138.82
  6. Step 6: Final answer
    x = 196.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.