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Finding the Fourth Proportional to 234.69, 322.67 and 209.56

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Solution

The fourth proportional to 234.69, 322.67 and 209.56 is: 288.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.69 : 322.67 = 209.56 : x
  2. Step 2: Convert to fraction form
    234.69/322.67 = 209.56/x
  3. Step 3: Cross multiply
    234.69x = 322.67 × 209.56
  4. Step 4: Simplify right side
    234.69x = 67,618.73
  5. Step 5: Solve for x
    x = 67,618.73/234.69
  6. Step 6: Final answer
    x = 288.12

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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.