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Finding the Fourth Proportional to 109.76, 163.69 and 105.80

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Solution

The fourth proportional to 109.76, 163.69 and 105.80 is: 157.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.76 : 163.69 = 105.80 : x
  2. Step 2: Convert to fraction form
    109.76/163.69 = 105.80/x
  3. Step 3: Cross multiply
    109.76x = 163.69 × 105.80
  4. Step 4: Simplify right side
    109.76x = 17,318.40
  5. Step 5: Solve for x
    x = 17,318.40/109.76
  6. Step 6: Final answer
    x = 157.78

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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.