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Finding the Fourth Proportional to 219.72, 327.06 and 216.48

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Solution

The fourth proportional to 219.72, 327.06 and 216.48 is: 322.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.72 : 327.06 = 216.48 : x
  2. Step 2: Convert to fraction form
    219.72/327.06 = 216.48/x
  3. Step 3: Cross multiply
    219.72x = 327.06 × 216.48
  4. Step 4: Simplify right side
    219.72x = 70,801.95
  5. Step 5: Solve for x
    x = 70,801.95/219.72
  6. Step 6: Final answer
    x = 322.24

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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.