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Finding the Fourth Proportional to 225.72, 312.94 and 213.41

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Solution

The fourth proportional to 225.72, 312.94 and 213.41 is: 295.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.72 : 312.94 = 213.41 : x
  2. Step 2: Convert to fraction form
    225.72/312.94 = 213.41/x
  3. Step 3: Cross multiply
    225.72x = 312.94 × 213.41
  4. Step 4: Simplify right side
    225.72x = 66,785.57
  5. Step 5: Solve for x
    x = 66,785.57/225.72
  6. Step 6: Final answer
    x = 295.88

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.