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Finding the Fourth Proportional to 3.25, 4.87 and 1.98

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Solution

The fourth proportional to 3.25, 4.87 and 1.98 is: 2.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.25 : 4.87 = 1.98 : x
  2. Step 2: Convert to fraction form
    3.25/4.87 = 1.98/x
  3. Step 3: Cross multiply
    3.25x = 4.87 × 1.98
  4. Step 4: Simplify right side
    3.25x = 9.63
  5. Step 5: Solve for x
    x = 9.63/3.25
  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.