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Finding the Fourth Proportional to 220.50, 329.46 and 212.00

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Solution

The fourth proportional to 220.50, 329.46 and 212.00 is: 316.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.50 : 329.46 = 212.00 : x
  2. Step 2: Convert to fraction form
    220.50/329.46 = 212.00/x
  3. Step 3: Cross multiply
    220.50x = 329.46 × 212.00
  4. Step 4: Simplify right side
    220.50x = 69,843.87
  5. Step 5: Solve for x
    x = 69,843.87/220.50
  6. Step 6: Final answer
    x = 316.75

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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.