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Finding the Fourth Proportional to 137.97, 205.74 and 134.87

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Solution

The fourth proportional to 137.97, 205.74 and 134.87 is: 201.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.97 : 205.74 = 134.87 : x
  2. Step 2: Convert to fraction form
    137.97/205.74 = 134.87/x
  3. Step 3: Cross multiply
    137.97x = 205.74 × 134.87
  4. Step 4: Simplify right side
    137.97x = 27,747.13
  5. Step 5: Solve for x
    x = 27,747.13/137.97
  6. Step 6: Final answer
    x = 201.11

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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.