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Finding the Fourth Proportional to 218.80, 326.39 and 182.62

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Solution

The fourth proportional to 218.80, 326.39 and 182.62 is: 272.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.80 : 326.39 = 182.62 : x
  2. Step 2: Convert to fraction form
    218.80/326.39 = 182.62/x
  3. Step 3: Cross multiply
    218.80x = 326.39 × 182.62
  4. Step 4: Simplify right side
    218.80x = 59,605.34
  5. Step 5: Solve for x
    x = 59,605.34/218.80
  6. Step 6: Final answer
    x = 272.42

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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.