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Finding the Fourth Proportional to 282.11, 422.82 and 160.20

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Solution

The fourth proportional to 282.11, 422.82 and 160.20 is: 240.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.11 : 422.82 = 160.20 : x
  2. Step 2: Convert to fraction form
    282.11/422.82 = 160.20/x
  3. Step 3: Cross multiply
    282.11x = 422.82 × 160.20
  4. Step 4: Simplify right side
    282.11x = 67,735.76
  5. Step 5: Solve for x
    x = 67,735.76/282.11
  6. Step 6: Final answer
    x = 240.11

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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.