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Finding the Fourth Proportional to 234.73, 324.17 and 188.11

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Solution

The fourth proportional to 234.73, 324.17 and 188.11 is: 259.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.73 : 324.17 = 188.11 : x
  2. Step 2: Convert to fraction form
    234.73/324.17 = 188.11/x
  3. Step 3: Cross multiply
    234.73x = 324.17 × 188.11
  4. Step 4: Simplify right side
    234.73x = 60,979.62
  5. Step 5: Solve for x
    x = 60,979.62/234.73
  6. Step 6: Final answer
    x = 259.79

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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.