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Finding the Fourth Proportional to 109.28, 163.05 and 105.77

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Solution

The fourth proportional to 109.28, 163.05 and 105.77 is: 157.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.28 : 163.05 = 105.77 : x
  2. Step 2: Convert to fraction form
    109.28/163.05 = 105.77/x
  3. Step 3: Cross multiply
    109.28x = 163.05 × 105.77
  4. Step 4: Simplify right side
    109.28x = 17,244.98
  5. Step 5: Solve for x
    x = 17,244.98/109.28
  6. Step 6: Final answer
    x = 157.81

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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.