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Finding the Fourth Proportional to 219.80, 327.20 and 218.64

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Solution

The fourth proportional to 219.80, 327.20 and 218.64 is: 325.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.80 : 327.20 = 218.64 : x
  2. Step 2: Convert to fraction form
    219.80/327.20 = 218.64/x
  3. Step 3: Cross multiply
    219.80x = 327.20 × 218.64
  4. Step 4: Simplify right side
    219.80x = 71,537.91
  5. Step 5: Solve for x
    x = 71,537.91/219.80
  6. Step 6: Final answer
    x = 325.48

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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.