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Finding the Fourth Proportional to 219.52, 326.70 and 218.85

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Solution

The fourth proportional to 219.52, 326.70 and 218.85 is: 325.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.52 : 326.70 = 218.85 : x
  2. Step 2: Convert to fraction form
    219.52/326.70 = 218.85/x
  3. Step 3: Cross multiply
    219.52x = 326.70 × 218.85
  4. Step 4: Simplify right side
    219.52x = 71,498.30
  5. Step 5: Solve for x
    x = 71,498.30/219.52
  6. Step 6: Final answer
    x = 325.70

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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.