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Finding the Fourth Proportional to 282.45, 422.73 and 189.78

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Solution

The fourth proportional to 282.45, 422.73 and 189.78 is: 284.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.45 : 422.73 = 189.78 : x
  2. Step 2: Convert to fraction form
    282.45/422.73 = 189.78/x
  3. Step 3: Cross multiply
    282.45x = 422.73 × 189.78
  4. Step 4: Simplify right side
    282.45x = 80,225.70
  5. Step 5: Solve for x
    x = 80,225.70/282.45
  6. Step 6: Final answer
    x = 284.04

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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.