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Finding the Fourth Proportional to 225.41, 310.79 and 194.27

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Solution

The fourth proportional to 225.41, 310.79 and 194.27 is: 267.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.41 : 310.79 = 194.27 : x
  2. Step 2: Convert to fraction form
    225.41/310.79 = 194.27/x
  3. Step 3: Cross multiply
    225.41x = 310.79 × 194.27
  4. Step 4: Simplify right side
    225.41x = 60,377.17
  5. Step 5: Solve for x
    x = 60,377.17/225.41
  6. Step 6: Final answer
    x = 267.85

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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.