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Finding the Fourth Proportional to 198.74, 273.67 and 189.02

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Solution

The fourth proportional to 198.74, 273.67 and 189.02 is: 260.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.74 : 273.67 = 189.02 : x
  2. Step 2: Convert to fraction form
    198.74/273.67 = 189.02/x
  3. Step 3: Cross multiply
    198.74x = 273.67 × 189.02
  4. Step 4: Simplify right side
    198.74x = 51,729.10
  5. Step 5: Solve for x
    x = 51,729.10/198.74
  6. Step 6: Final answer
    x = 260.29

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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.