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Finding the Fourth Proportional to 282.06, 422.97 and 119.58

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Solution

The fourth proportional to 282.06, 422.97 and 119.58 is: 179.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.06 : 422.97 = 119.58 : x
  2. Step 2: Convert to fraction form
    282.06/422.97 = 119.58/x
  3. Step 3: Cross multiply
    282.06x = 422.97 × 119.58
  4. Step 4: Simplify right side
    282.06x = 50,578.75
  5. Step 5: Solve for x
    x = 50,578.75/282.06
  6. Step 6: Final answer
    x = 179.32

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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.