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Finding the Fourth Proportional to 3.98, 5.96 and 1.97

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Solution

The fourth proportional to 3.98, 5.96 and 1.97 is: 2.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.98 : 5.96 = 1.97 : x
  2. Step 2: Convert to fraction form
    3.98/5.96 = 1.97/x
  3. Step 3: Cross multiply
    3.98x = 5.96 × 1.97
  4. Step 4: Simplify right side
    3.98x = 11.75
  5. Step 5: Solve for x
    x = 11.75/3.98
  6. Step 6: Final answer
    x = 2.96

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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.