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Finding the Fourth Proportional to 219.33, 327.02 and 211.42

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Solution

The fourth proportional to 219.33, 327.02 and 211.42 is: 315.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.33 : 327.02 = 211.42 : x
  2. Step 2: Convert to fraction form
    219.33/327.02 = 211.42/x
  3. Step 3: Cross multiply
    219.33x = 327.02 × 211.42
  4. Step 4: Simplify right side
    219.33x = 69,138.57
  5. Step 5: Solve for x
    x = 69,138.57/219.33
  6. Step 6: Final answer
    x = 315.23

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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.