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Finding the Fourth Proportional to 138.07, 205.84 and 131.59

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Solution

The fourth proportional to 138.07, 205.84 and 131.59 is: 196.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.07 : 205.84 = 131.59 : x
  2. Step 2: Convert to fraction form
    138.07/205.84 = 131.59/x
  3. Step 3: Cross multiply
    138.07x = 205.84 × 131.59
  4. Step 4: Simplify right side
    138.07x = 27,086.49
  5. Step 5: Solve for x
    x = 27,086.49/138.07
  6. Step 6: Final answer
    x = 196.18

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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.