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Finding the Fourth Proportional to 138.24, 205.92 and 135.09

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Solution

The fourth proportional to 138.24, 205.92 and 135.09 is: 201.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.24 : 205.92 = 135.09 : x
  2. Step 2: Convert to fraction form
    138.24/205.92 = 135.09/x
  3. Step 3: Cross multiply
    138.24x = 205.92 × 135.09
  4. Step 4: Simplify right side
    138.24x = 27,817.73
  5. Step 5: Solve for x
    x = 27,817.73/138.24
  6. Step 6: Final answer
    x = 201.23

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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.