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Finding the Fourth Proportional to 282.75, 425.07 and 225.69

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Solution

The fourth proportional to 282.75, 425.07 and 225.69 is: 339.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.75 : 425.07 = 225.69 : x
  2. Step 2: Convert to fraction form
    282.75/425.07 = 225.69/x
  3. Step 3: Cross multiply
    282.75x = 425.07 × 225.69
  4. Step 4: Simplify right side
    282.75x = 95,934.05
  5. Step 5: Solve for x
    x = 95,934.05/282.75
  6. Step 6: Final answer
    x = 339.29

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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.