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Finding the Fourth Proportional to 225.74, 311.46 and 132.43

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Solution

The fourth proportional to 225.74, 311.46 and 132.43 is: 182.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.74 : 311.46 = 132.43 : x
  2. Step 2: Convert to fraction form
    225.74/311.46 = 132.43/x
  3. Step 3: Cross multiply
    225.74x = 311.46 × 132.43
  4. Step 4: Simplify right side
    225.74x = 41,246.65
  5. Step 5: Solve for x
    x = 41,246.65/225.74
  6. Step 6: Final answer
    x = 182.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.