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Finding the Fourth Proportional to 227.79, 314.43 and 161.49

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Solution

The fourth proportional to 227.79, 314.43 and 161.49 is: 222.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.79 : 314.43 = 161.49 : x
  2. Step 2: Convert to fraction form
    227.79/314.43 = 161.49/x
  3. Step 3: Cross multiply
    227.79x = 314.43 × 161.49
  4. Step 4: Simplify right side
    227.79x = 50,777.30
  5. Step 5: Solve for x
    x = 50,777.30/227.79
  6. Step 6: Final answer
    x = 222.91

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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.