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Finding the Fourth Proportional to 227.88, 340.22 and 195.39

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Solution

The fourth proportional to 227.88, 340.22 and 195.39 is: 291.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.88 : 340.22 = 195.39 : x
  2. Step 2: Convert to fraction form
    227.88/340.22 = 195.39/x
  3. Step 3: Cross multiply
    227.88x = 340.22 × 195.39
  4. Step 4: Simplify right side
    227.88x = 66,474.61
  5. Step 5: Solve for x
    x = 66,474.61/227.88
  6. Step 6: Final answer
    x = 291.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.