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Finding the Fourth Proportional to 103.87, 155.49 and 100.09

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Solution

The fourth proportional to 103.87, 155.49 and 100.09 is: 149.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.87 : 155.49 = 100.09 : x
  2. Step 2: Convert to fraction form
    103.87/155.49 = 100.09/x
  3. Step 3: Cross multiply
    103.87x = 155.49 × 100.09
  4. Step 4: Simplify right side
    103.87x = 15,562.99
  5. Step 5: Solve for x
    x = 15,562.99/103.87
  6. Step 6: Final answer
    x = 149.83

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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.