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Finding the Fourth Proportional to 227.23, 312.82 and 196.57

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Solution

The fourth proportional to 227.23, 312.82 and 196.57 is: 270.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.23 : 312.82 = 196.57 : x
  2. Step 2: Convert to fraction form
    227.23/312.82 = 196.57/x
  3. Step 3: Cross multiply
    227.23x = 312.82 × 196.57
  4. Step 4: Simplify right side
    227.23x = 61,491.03
  5. Step 5: Solve for x
    x = 61,491.03/227.23
  6. Step 6: Final answer
    x = 270.61

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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.