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Finding the Fourth Proportional to 282.75, 422.37 and 239.21

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Solution

The fourth proportional to 282.75, 422.37 and 239.21 is: 357.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.75 : 422.37 = 239.21 : x
  2. Step 2: Convert to fraction form
    282.75/422.37 = 239.21/x
  3. Step 3: Cross multiply
    282.75x = 422.37 × 239.21
  4. Step 4: Simplify right side
    282.75x = 101,035.13
  5. Step 5: Solve for x
    x = 101,035.13/282.75
  6. Step 6: Final answer
    x = 357.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.