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Finding the Fourth Proportional to 225.89, 337.19 and 198.55

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Solution

The fourth proportional to 225.89, 337.19 and 198.55 is: 296.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.89 : 337.19 = 198.55 : x
  2. Step 2: Convert to fraction form
    225.89/337.19 = 198.55/x
  3. Step 3: Cross multiply
    225.89x = 337.19 × 198.55
  4. Step 4: Simplify right side
    225.89x = 66,948.73
  5. Step 5: Solve for x
    x = 66,948.73/225.89
  6. Step 6: Final answer
    x = 296.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.