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Finding the Fourth Proportional to 205.65, 308.49 and 83.90

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Solution

The fourth proportional to 205.65, 308.49 and 83.90 is: 125.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.65 : 308.49 = 83.90 : x
  2. Step 2: Convert to fraction form
    205.65/308.49 = 83.90/x
  3. Step 3: Cross multiply
    205.65x = 308.49 × 83.90
  4. Step 4: Simplify right side
    205.65x = 25,882.31
  5. Step 5: Solve for x
    x = 25,882.31/205.65
  6. Step 6: Final answer
    x = 125.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.