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Finding the Fourth Proportional to 5.36, 8.05 and 1.98

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Solution

The fourth proportional to 5.36, 8.05 and 1.98 is: 2.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.36 : 8.05 = 1.98 : x
  2. Step 2: Convert to fraction form
    5.36/8.05 = 1.98/x
  3. Step 3: Cross multiply
    5.36x = 8.05 × 1.98
  4. Step 4: Simplify right side
    5.36x = 15.97
  5. Step 5: Solve for x
    x = 15.97/5.36
  6. Step 6: Final answer
    x = 2.98

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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.