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Finding the Fourth Proportional to 137.98, 205.32 and 133.54

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Solution

The fourth proportional to 137.98, 205.32 and 133.54 is: 198.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.98 : 205.32 = 133.54 : x
  2. Step 2: Convert to fraction form
    137.98/205.32 = 133.54/x
  3. Step 3: Cross multiply
    137.98x = 205.32 × 133.54
  4. Step 4: Simplify right side
    137.98x = 27,418.43
  5. Step 5: Solve for x
    x = 27,418.43/137.98
  6. Step 6: Final answer
    x = 198.71

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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.