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Finding the Fourth Proportional to 227.24, 313.44 and 161.78

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Solution

The fourth proportional to 227.24, 313.44 and 161.78 is: 223.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.24 : 313.44 = 161.78 : x
  2. Step 2: Convert to fraction form
    227.24/313.44 = 161.78/x
  3. Step 3: Cross multiply
    227.24x = 313.44 × 161.78
  4. Step 4: Simplify right side
    227.24x = 50,708.32
  5. Step 5: Solve for x
    x = 50,708.32/227.24
  6. Step 6: Final answer
    x = 223.15

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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.