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Finding the Fourth Proportional to 223.52, 306.82 and 198.41

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Solution

The fourth proportional to 223.52, 306.82 and 198.41 is: 272.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.52 : 306.82 = 198.41 : x
  2. Step 2: Convert to fraction form
    223.52/306.82 = 198.41/x
  3. Step 3: Cross multiply
    223.52x = 306.82 × 198.41
  4. Step 4: Simplify right side
    223.52x = 60,875.16
  5. Step 5: Solve for x
    x = 60,875.16/223.52
  6. Step 6: Final answer
    x = 272.35

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.