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Finding the Fourth Proportional to 232.44, 320.94 and 198.12

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Solution

The fourth proportional to 232.44, 320.94 and 198.12 is: 273.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.44 : 320.94 = 198.12 : x
  2. Step 2: Convert to fraction form
    232.44/320.94 = 198.12/x
  3. Step 3: Cross multiply
    232.44x = 320.94 × 198.12
  4. Step 4: Simplify right side
    232.44x = 63,584.63
  5. Step 5: Solve for x
    x = 63,584.63/232.44
  6. Step 6: Final answer
    x = 273.55

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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.