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Finding the Fourth Proportional to 227.27, 311.45 and 205.40

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Solution

The fourth proportional to 227.27, 311.45 and 205.40 is: 281.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.27 : 311.45 = 205.40 : x
  2. Step 2: Convert to fraction form
    227.27/311.45 = 205.40/x
  3. Step 3: Cross multiply
    227.27x = 311.45 × 205.40
  4. Step 4: Simplify right side
    227.27x = 63,973.77
  5. Step 5: Solve for x
    x = 63,973.77/227.27
  6. Step 6: Final answer
    x = 281.48

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.