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Finding the Fourth Proportional to 226.92, 338.73 and 196.60

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Solution

The fourth proportional to 226.92, 338.73 and 196.60 is: 293.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.92 : 338.73 = 196.60 : x
  2. Step 2: Convert to fraction form
    226.92/338.73 = 196.60/x
  3. Step 3: Cross multiply
    226.92x = 338.73 × 196.60
  4. Step 4: Simplify right side
    226.92x = 66,594.32
  5. Step 5: Solve for x
    x = 66,594.32/226.92
  6. Step 6: Final answer
    x = 293.47

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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.