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Finding the Fourth Proportional to 219.59, 326.96 and 218.57

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Solution

The fourth proportional to 219.59, 326.96 and 218.57 is: 325.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.59 : 326.96 = 218.57 : x
  2. Step 2: Convert to fraction form
    219.59/326.96 = 218.57/x
  3. Step 3: Cross multiply
    219.59x = 326.96 × 218.57
  4. Step 4: Simplify right side
    219.59x = 71,460.92
  5. Step 5: Solve for x
    x = 71,460.92/219.59
  6. Step 6: Final answer
    x = 325.43

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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.