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Finding the Fourth Proportional to 234.11, 323.31 and 188.09

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Solution

The fourth proportional to 234.11, 323.31 and 188.09 is: 259.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.11 : 323.31 = 188.09 : x
  2. Step 2: Convert to fraction form
    234.11/323.31 = 188.09/x
  3. Step 3: Cross multiply
    234.11x = 323.31 × 188.09
  4. Step 4: Simplify right side
    234.11x = 60,811.38
  5. Step 5: Solve for x
    x = 60,811.38/234.11
  6. Step 6: Final answer
    x = 259.76

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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.