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Finding the Fourth Proportional to 198.33, 273.49 and 134.32

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Solution

The fourth proportional to 198.33, 273.49 and 134.32 is: 185.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.33 : 273.49 = 134.32 : x
  2. Step 2: Convert to fraction form
    198.33/273.49 = 134.32/x
  3. Step 3: Cross multiply
    198.33x = 273.49 × 134.32
  4. Step 4: Simplify right side
    198.33x = 36,735.18
  5. Step 5: Solve for x
    x = 36,735.18/198.33
  6. Step 6: Final answer
    x = 185.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.