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Finding the Fourth Proportional to 218.04, 326.97 and 109.74

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Solution

The fourth proportional to 218.04, 326.97 and 109.74 is: 164.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.04 : 326.97 = 109.74 : x
  2. Step 2: Convert to fraction form
    218.04/326.97 = 109.74/x
  3. Step 3: Cross multiply
    218.04x = 326.97 × 109.74
  4. Step 4: Simplify right side
    218.04x = 35,881.69
  5. Step 5: Solve for x
    x = 35,881.69/218.04
  6. Step 6: Final answer
    x = 164.56

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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.