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Finding the Fourth Proportional to 198.39, 273.80 and 111.07

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Solution

The fourth proportional to 198.39, 273.80 and 111.07 is: 153.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.39 : 273.80 = 111.07 : x
  2. Step 2: Convert to fraction form
    198.39/273.80 = 111.07/x
  3. Step 3: Cross multiply
    198.39x = 273.80 × 111.07
  4. Step 4: Simplify right side
    198.39x = 30,410.97
  5. Step 5: Solve for x
    x = 30,410.97/198.39
  6. Step 6: Final answer
    x = 153.29

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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.