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Finding the Fourth Proportional to 198.34, 273.80 and 136.33

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Solution

The fourth proportional to 198.34, 273.80 and 136.33 is: 188.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.34 : 273.80 = 136.33 : x
  2. Step 2: Convert to fraction form
    198.34/273.80 = 136.33/x
  3. Step 3: Cross multiply
    198.34x = 273.80 × 136.33
  4. Step 4: Simplify right side
    198.34x = 37,327.15
  5. Step 5: Solve for x
    x = 37,327.15/198.34
  6. Step 6: Final answer
    x = 188.20

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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.