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Finding the Fourth Proportional to 103.67, 143.09 and 80.31

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Solution

The fourth proportional to 103.67, 143.09 and 80.31 is: 110.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.67 : 143.09 = 80.31 : x
  2. Step 2: Convert to fraction form
    103.67/143.09 = 80.31/x
  3. Step 3: Cross multiply
    103.67x = 143.09 × 80.31
  4. Step 4: Simplify right side
    103.67x = 11,491.56
  5. Step 5: Solve for x
    x = 11,491.56/103.67
  6. Step 6: Final answer
    x = 110.85

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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.