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Finding the Fourth Proportional to 220.05, 327.76 and 219.06

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Solution

The fourth proportional to 220.05, 327.76 and 219.06 is: 326.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.05 : 327.76 = 219.06 : x
  2. Step 2: Convert to fraction form
    220.05/327.76 = 219.06/x
  3. Step 3: Cross multiply
    220.05x = 327.76 × 219.06
  4. Step 4: Simplify right side
    220.05x = 71,798.56
  5. Step 5: Solve for x
    x = 71,798.56/220.05
  6. Step 6: Final answer
    x = 326.28

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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.