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Finding the Fourth Proportional to 205.23, 282.73 and 168.17

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Solution

The fourth proportional to 205.23, 282.73 and 168.17 is: 231.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.23 : 282.73 = 168.17 : x
  2. Step 2: Convert to fraction form
    205.23/282.73 = 168.17/x
  3. Step 3: Cross multiply
    205.23x = 282.73 × 168.17
  4. Step 4: Simplify right side
    205.23x = 47,546.70
  5. Step 5: Solve for x
    x = 47,546.70/205.23
  6. Step 6: Final answer
    x = 231.68

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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.