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Finding the Fourth Proportional to 225.44, 336.82 and 198.70

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Solution

The fourth proportional to 225.44, 336.82 and 198.70 is: 296.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.44 : 336.82 = 198.70 : x
  2. Step 2: Convert to fraction form
    225.44/336.82 = 198.70/x
  3. Step 3: Cross multiply
    225.44x = 336.82 × 198.70
  4. Step 4: Simplify right side
    225.44x = 66,926.13
  5. Step 5: Solve for x
    x = 66,926.13/225.44
  6. Step 6: Final answer
    x = 296.87

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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.