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Finding the Fourth Proportional to 198.46, 273.86 and 111.12

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Solution

The fourth proportional to 198.46, 273.86 and 111.12 is: 153.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.46 : 273.86 = 111.12 : x
  2. Step 2: Convert to fraction form
    198.46/273.86 = 111.12/x
  3. Step 3: Cross multiply
    198.46x = 273.86 × 111.12
  4. Step 4: Simplify right side
    198.46x = 30,431.32
  5. Step 5: Solve for x
    x = 30,431.32/198.46
  6. Step 6: Final answer
    x = 153.34

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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.