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Finding the Fourth Proportional to 109.90, 163.78 and 103.41

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Solution

The fourth proportional to 109.90, 163.78 and 103.41 is: 154.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.90 : 163.78 = 103.41 : x
  2. Step 2: Convert to fraction form
    109.90/163.78 = 103.41/x
  3. Step 3: Cross multiply
    109.90x = 163.78 × 103.41
  4. Step 4: Simplify right side
    109.90x = 16,936.57
  5. Step 5: Solve for x
    x = 16,936.57/109.90
  6. Step 6: Final answer
    x = 154.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.