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Finding the Fourth Proportional to 281.98, 422.61 and 119.77

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Solution

The fourth proportional to 281.98, 422.61 and 119.77 is: 179.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.98 : 422.61 = 119.77 : x
  2. Step 2: Convert to fraction form
    281.98/422.61 = 119.77/x
  3. Step 3: Cross multiply
    281.98x = 422.61 × 119.77
  4. Step 4: Simplify right side
    281.98x = 50,616.00
  5. Step 5: Solve for x
    x = 50,616.00/281.98
  6. Step 6: Final answer
    x = 179.50

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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.