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Finding the Fourth Proportional to 327.05, 489.85 and 234.33

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Solution

The fourth proportional to 327.05, 489.85 and 234.33 is: 350.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.05 : 489.85 = 234.33 : x
  2. Step 2: Convert to fraction form
    327.05/489.85 = 234.33/x
  3. Step 3: Cross multiply
    327.05x = 489.85 × 234.33
  4. Step 4: Simplify right side
    327.05x = 114,784.13
  5. Step 5: Solve for x
    x = 114,784.13/327.05
  6. Step 6: Final answer
    x = 350.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.