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Finding the Fourth Proportional to 225.96, 311.04 and 198.20

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Solution

The fourth proportional to 225.96, 311.04 and 198.20 is: 272.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.96 : 311.04 = 198.20 : x
  2. Step 2: Convert to fraction form
    225.96/311.04 = 198.20/x
  3. Step 3: Cross multiply
    225.96x = 311.04 × 198.20
  4. Step 4: Simplify right side
    225.96x = 61,648.13
  5. Step 5: Solve for x
    x = 61,648.13/225.96
  6. Step 6: Final answer
    x = 272.83

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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.