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Finding the Fourth Proportional to 198.37, 273.17 and 189.95

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Solution

The fourth proportional to 198.37, 273.17 and 189.95 is: 261.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.37 : 273.17 = 189.95 : x
  2. Step 2: Convert to fraction form
    198.37/273.17 = 189.95/x
  3. Step 3: Cross multiply
    198.37x = 273.17 × 189.95
  4. Step 4: Simplify right side
    198.37x = 51,887.75
  5. Step 5: Solve for x
    x = 51,887.75/198.37
  6. Step 6: Final answer
    x = 261.57

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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.