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Finding the Fourth Proportional to 227.20, 313.12 and 171.09

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Solution

The fourth proportional to 227.20, 313.12 and 171.09 is: 235.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.20 : 313.12 = 171.09 : x
  2. Step 2: Convert to fraction form
    227.20/313.12 = 171.09/x
  3. Step 3: Cross multiply
    227.20x = 313.12 × 171.09
  4. Step 4: Simplify right side
    227.20x = 53,571.70
  5. Step 5: Solve for x
    x = 53,571.70/227.20
  6. Step 6: Final answer
    x = 235.79

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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.