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Finding the Fourth Proportional to 109.26, 164.75 and 100.26

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Solution

The fourth proportional to 109.26, 164.75 and 100.26 is: 151.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.26 : 164.75 = 100.26 : x
  2. Step 2: Convert to fraction form
    109.26/164.75 = 100.26/x
  3. Step 3: Cross multiply
    109.26x = 164.75 × 100.26
  4. Step 4: Simplify right side
    109.26x = 16,517.33
  5. Step 5: Solve for x
    x = 16,517.33/109.26
  6. Step 6: Final answer
    x = 151.17

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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.