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Finding the Fourth Proportional to 227.85, 314.43 and 209.25

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Solution

The fourth proportional to 227.85, 314.43 and 209.25 is: 288.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.85 : 314.43 = 209.25 : x
  2. Step 2: Convert to fraction form
    227.85/314.43 = 209.25/x
  3. Step 3: Cross multiply
    227.85x = 314.43 × 209.25
  4. Step 4: Simplify right side
    227.85x = 65,793.43
  5. Step 5: Solve for x
    x = 65,793.43/227.85
  6. Step 6: Final answer
    x = 288.76

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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.