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Finding the Fourth Proportional to 8.00, 11.99 and 3.98

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Solution

The fourth proportional to 8.00, 11.99 and 3.98 is: 5.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.00 : 11.99 = 3.98 : x
  2. Step 2: Convert to fraction form
    8.00/11.99 = 3.98/x
  3. Step 3: Cross multiply
    8.00x = 11.99 × 3.98
  4. Step 4: Simplify right side
    8.00x = 47.73
  5. Step 5: Solve for x
    x = 47.73/8.00
  6. Step 6: Final answer
    x = 5.97

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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.