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Finding the Fourth Proportional to 238.14, 327.99 and 234.90

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Solution

The fourth proportional to 238.14, 327.99 and 234.90 is: 323.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.14 : 327.99 = 234.90 : x
  2. Step 2: Convert to fraction form
    238.14/327.99 = 234.90/x
  3. Step 3: Cross multiply
    238.14x = 327.99 × 234.90
  4. Step 4: Simplify right side
    238.14x = 77,044.85
  5. Step 5: Solve for x
    x = 77,044.85/238.14
  6. Step 6: Final answer
    x = 323.53

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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.