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Finding the Fourth Proportional to 222.87, 306.09 and 209.31

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Solution

The fourth proportional to 222.87, 306.09 and 209.31 is: 287.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.87 : 306.09 = 209.31 : x
  2. Step 2: Convert to fraction form
    222.87/306.09 = 209.31/x
  3. Step 3: Cross multiply
    222.87x = 306.09 × 209.31
  4. Step 4: Simplify right side
    222.87x = 64,067.70
  5. Step 5: Solve for x
    x = 64,067.70/222.87
  6. Step 6: Final answer
    x = 287.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.