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Finding the Fourth Proportional to 205.28, 282.10 and 195.76

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Solution

The fourth proportional to 205.28, 282.10 and 195.76 is: 269.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.28 : 282.10 = 195.76 : x
  2. Step 2: Convert to fraction form
    205.28/282.10 = 195.76/x
  3. Step 3: Cross multiply
    205.28x = 282.10 × 195.76
  4. Step 4: Simplify right side
    205.28x = 55,222.70
  5. Step 5: Solve for x
    x = 55,222.70/205.28
  6. Step 6: Final answer
    x = 269.02

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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.