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Finding the Fourth Proportional to 205.97, 283.31 and 168.15

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Solution

The fourth proportional to 205.97, 283.31 and 168.15 is: 231.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.97 : 283.31 = 168.15 : x
  2. Step 2: Convert to fraction form
    205.97/283.31 = 168.15/x
  3. Step 3: Cross multiply
    205.97x = 283.31 × 168.15
  4. Step 4: Simplify right side
    205.97x = 47,637.74
  5. Step 5: Solve for x
    x = 47,637.74/205.97
  6. Step 6: Final answer
    x = 231.29

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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.