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Finding the Fourth Proportional to 109.26, 164.78 and 108.11

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Solution

The fourth proportional to 109.26, 164.78 and 108.11 is: 163.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.26 : 164.78 = 108.11 : x
  2. Step 2: Convert to fraction form
    109.26/164.78 = 108.11/x
  3. Step 3: Cross multiply
    109.26x = 164.78 × 108.11
  4. Step 4: Simplify right side
    109.26x = 17,814.37
  5. Step 5: Solve for x
    x = 17,814.37/109.26
  6. Step 6: Final answer
    x = 163.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.