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Finding the Fourth Proportional to 282.20, 422.90 and 185.81

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Solution

The fourth proportional to 282.20, 422.90 and 185.81 is: 278.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.20 : 422.90 = 185.81 : x
  2. Step 2: Convert to fraction form
    282.20/422.90 = 185.81/x
  3. Step 3: Cross multiply
    282.20x = 422.90 × 185.81
  4. Step 4: Simplify right side
    282.20x = 78,579.87
  5. Step 5: Solve for x
    x = 78,579.87/282.20
  6. Step 6: Final answer
    x = 278.45

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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.