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Finding the Fourth Proportional to 218.20, 326.80 and 109.75

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Solution

The fourth proportional to 218.20, 326.80 and 109.75 is: 164.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.20 : 326.80 = 109.75 : x
  2. Step 2: Convert to fraction form
    218.20/326.80 = 109.75/x
  3. Step 3: Cross multiply
    218.20x = 326.80 × 109.75
  4. Step 4: Simplify right side
    218.20x = 35,866.30
  5. Step 5: Solve for x
    x = 35,866.30/218.20
  6. Step 6: Final answer
    x = 164.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.