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Finding the Fourth Proportional to 239.90, 329.91 and 200.54

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Solution

The fourth proportional to 239.90, 329.91 and 200.54 is: 275.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.90 : 329.91 = 200.54 : x
  2. Step 2: Convert to fraction form
    239.90/329.91 = 200.54/x
  3. Step 3: Cross multiply
    239.90x = 329.91 × 200.54
  4. Step 4: Simplify right side
    239.90x = 66,160.15
  5. Step 5: Solve for x
    x = 66,160.15/239.90
  6. Step 6: Final answer
    x = 275.78

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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.