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Finding the Fourth Proportional to 222, 331 and 209.76

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Solution

The fourth proportional to 222, 331 and 209.76 is: 312.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    222 : 331 = 209.76 : x
  2. Step 2: Convert to fraction form
    222/331 = 209.76/x
  3. Step 3: Cross multiply
    222x = 331 × 209.76
  4. Step 4: Simplify right side
    222x = 69,430.56
  5. Step 5: Solve for x
    x = 69,430.56/222
  6. Step 6: Final answer
    x = 312.75

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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.