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Finding the Fourth Proportional to 223.38, 336.38 and 196.65

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Solution

The fourth proportional to 223.38, 336.38 and 196.65 is: 296.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.38 : 336.38 = 196.65 : x
  2. Step 2: Convert to fraction form
    223.38/336.38 = 196.65/x
  3. Step 3: Cross multiply
    223.38x = 336.38 × 196.65
  4. Step 4: Simplify right side
    223.38x = 66,148.14
  5. Step 5: Solve for x
    x = 66,148.14/223.38
  6. Step 6: Final answer
    x = 296.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.