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Finding the Fourth Proportional to 137.85, 205.64 and 132.09

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Solution

The fourth proportional to 137.85, 205.64 and 132.09 is: 197.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.85 : 205.64 = 132.09 : x
  2. Step 2: Convert to fraction form
    137.85/205.64 = 132.09/x
  3. Step 3: Cross multiply
    137.85x = 205.64 × 132.09
  4. Step 4: Simplify right side
    137.85x = 27,162.33
  5. Step 5: Solve for x
    x = 27,162.33/137.85
  6. Step 6: Final answer
    x = 197.04

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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.