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Finding the Fourth Proportional to 219.90, 327.60 and 212.16

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Solution

The fourth proportional to 219.90, 327.60 and 212.16 is: 316.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.90 : 327.60 = 212.16 : x
  2. Step 2: Convert to fraction form
    219.90/327.60 = 212.16/x
  3. Step 3: Cross multiply
    219.90x = 327.60 × 212.16
  4. Step 4: Simplify right side
    219.90x = 69,503.62
  5. Step 5: Solve for x
    x = 69,503.62/219.90
  6. Step 6: Final answer
    x = 316.07

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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.