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Finding the Fourth Proportional to 138.30, 205.86 and 132.02

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Solution

The fourth proportional to 138.30, 205.86 and 132.02 is: 196.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.30 : 205.86 = 132.02 : x
  2. Step 2: Convert to fraction form
    138.30/205.86 = 132.02/x
  3. Step 3: Cross multiply
    138.30x = 205.86 × 132.02
  4. Step 4: Simplify right side
    138.30x = 27,177.64
  5. Step 5: Solve for x
    x = 27,177.64/138.30
  6. Step 6: Final answer
    x = 196.51

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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.