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Finding the Fourth Proportional to 226.46, 310.96 and 196.40

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Solution

The fourth proportional to 226.46, 310.96 and 196.40 is: 269.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.46 : 310.96 = 196.40 : x
  2. Step 2: Convert to fraction form
    226.46/310.96 = 196.40/x
  3. Step 3: Cross multiply
    226.46x = 310.96 × 196.40
  4. Step 4: Simplify right side
    226.46x = 61,072.54
  5. Step 5: Solve for x
    x = 61,072.54/226.46
  6. Step 6: Final answer
    x = 269.68

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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.