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Finding the Fourth Proportional to 239.27, 329.77 and 205.99

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Solution

The fourth proportional to 239.27, 329.77 and 205.99 is: 283.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.27 : 329.77 = 205.99 : x
  2. Step 2: Convert to fraction form
    239.27/329.77 = 205.99/x
  3. Step 3: Cross multiply
    239.27x = 329.77 × 205.99
  4. Step 4: Simplify right side
    239.27x = 67,930.66
  5. Step 5: Solve for x
    x = 67,930.66/239.27
  6. Step 6: Final answer
    x = 283.91

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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.