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Finding the Fourth Proportional to 282.40, 422.98 and 185.80

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Solution

The fourth proportional to 282.40, 422.98 and 185.80 is: 278.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.40 : 422.98 = 185.80 : x
  2. Step 2: Convert to fraction form
    282.40/422.98 = 185.80/x
  3. Step 3: Cross multiply
    282.40x = 422.98 × 185.80
  4. Step 4: Simplify right side
    282.40x = 78,589.68
  5. Step 5: Solve for x
    x = 78,589.68/282.40
  6. Step 6: Final answer
    x = 278.29

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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.