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Finding the Fourth Proportional to 80.50, 111.09 and 49.41

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Solution

The fourth proportional to 80.50, 111.09 and 49.41 is: 68.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.50 : 111.09 = 49.41 : x
  2. Step 2: Convert to fraction form
    80.50/111.09 = 49.41/x
  3. Step 3: Cross multiply
    80.50x = 111.09 × 49.41
  4. Step 4: Simplify right side
    80.50x = 5,488.96
  5. Step 5: Solve for x
    x = 5,488.96/80.50
  6. Step 6: Final answer
    x = 68.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.