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Finding the Fourth Proportional to 226.92, 311.94 and 195.30

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Solution

The fourth proportional to 226.92, 311.94 and 195.30 is: 268.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.92 : 311.94 = 195.30 : x
  2. Step 2: Convert to fraction form
    226.92/311.94 = 195.30/x
  3. Step 3: Cross multiply
    226.92x = 311.94 × 195.30
  4. Step 4: Simplify right side
    226.92x = 60,920.81
  5. Step 5: Solve for x
    x = 60,920.81/226.92
  6. Step 6: Final answer
    x = 268.47

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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.