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Finding the Fourth Proportional to 239.60, 329.14 and 195.80

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Solution

The fourth proportional to 239.60, 329.14 and 195.80 is: 268.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.60 : 329.14 = 195.80 : x
  2. Step 2: Convert to fraction form
    239.60/329.14 = 195.80/x
  3. Step 3: Cross multiply
    239.60x = 329.14 × 195.80
  4. Step 4: Simplify right side
    239.60x = 64,445.61
  5. Step 5: Solve for x
    x = 64,445.61/239.60
  6. Step 6: Final answer
    x = 268.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.