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Finding the Fourth Proportional to 234.54, 323.73 and 141.21

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Solution

The fourth proportional to 234.54, 323.73 and 141.21 is: 194.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.54 : 323.73 = 141.21 : x
  2. Step 2: Convert to fraction form
    234.54/323.73 = 141.21/x
  3. Step 3: Cross multiply
    234.54x = 323.73 × 141.21
  4. Step 4: Simplify right side
    234.54x = 45,713.91
  5. Step 5: Solve for x
    x = 45,713.91/234.54
  6. Step 6: Final answer
    x = 194.91

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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.