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Finding the Fourth Proportional to 282.26, 425.03 and 209.65

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Solution

The fourth proportional to 282.26, 425.03 and 209.65 is: 315.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.26 : 425.03 = 209.65 : x
  2. Step 2: Convert to fraction form
    282.26/425.03 = 209.65/x
  3. Step 3: Cross multiply
    282.26x = 425.03 × 209.65
  4. Step 4: Simplify right side
    282.26x = 89,107.54
  5. Step 5: Solve for x
    x = 89,107.54/282.26
  6. Step 6: Final answer
    x = 315.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.