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Finding the Fourth Proportional to 227.45, 313.66 and 209.66

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Solution

The fourth proportional to 227.45, 313.66 and 209.66 is: 289.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.45 : 313.66 = 209.66 : x
  2. Step 2: Convert to fraction form
    227.45/313.66 = 209.66/x
  3. Step 3: Cross multiply
    227.45x = 313.66 × 209.66
  4. Step 4: Simplify right side
    227.45x = 65,761.96
  5. Step 5: Solve for x
    x = 65,761.96/227.45
  6. Step 6: Final answer
    x = 289.13

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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.