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Finding the Fourth Proportional to 234.78, 323.92 and 141.50

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Solution

The fourth proportional to 234.78, 323.92 and 141.50 is: 195.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.78 : 323.92 = 141.50 : x
  2. Step 2: Convert to fraction form
    234.78/323.92 = 141.50/x
  3. Step 3: Cross multiply
    234.78x = 323.92 × 141.50
  4. Step 4: Simplify right side
    234.78x = 45,832.35
  5. Step 5: Solve for x
    x = 45,832.35/234.78
  6. Step 6: Final answer
    x = 195.21

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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.