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Finding the Fourth Proportional to 219.80, 327.82 and 212.06

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Solution

The fourth proportional to 219.80, 327.82 and 212.06 is: 316.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.80 : 327.82 = 212.06 : x
  2. Step 2: Convert to fraction form
    219.80/327.82 = 212.06/x
  3. Step 3: Cross multiply
    219.80x = 327.82 × 212.06
  4. Step 4: Simplify right side
    219.80x = 69,517.51
  5. Step 5: Solve for x
    x = 69,517.51/219.80
  6. Step 6: Final answer
    x = 316.28

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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.