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Finding the Fourth Proportional to 282.24, 422.80 and 185.76

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Solution

The fourth proportional to 282.24, 422.80 and 185.76 is: 278.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.24 : 422.80 = 185.76 : x
  2. Step 2: Convert to fraction form
    282.24/422.80 = 185.76/x
  3. Step 3: Cross multiply
    282.24x = 422.80 × 185.76
  4. Step 4: Simplify right side
    282.24x = 78,539.33
  5. Step 5: Solve for x
    x = 78,539.33/282.24
  6. Step 6: Final answer
    x = 278.27

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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.