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Finding the Fourth Proportional to 222.30, 331.21 and 209.88

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Solution

The fourth proportional to 222.30, 331.21 and 209.88 is: 312.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.30 : 331.21 = 209.88 : x
  2. Step 2: Convert to fraction form
    222.30/331.21 = 209.88/x
  3. Step 3: Cross multiply
    222.30x = 331.21 × 209.88
  4. Step 4: Simplify right side
    222.30x = 69,514.35
  5. Step 5: Solve for x
    x = 69,514.35/222.30
  6. Step 6: Final answer
    x = 312.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.