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Finding the Fourth Proportional to 220.96, 329.32 and 212.80

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Solution

The fourth proportional to 220.96, 329.32 and 212.80 is: 317.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.96 : 329.32 = 212.80 : x
  2. Step 2: Convert to fraction form
    220.96/329.32 = 212.80/x
  3. Step 3: Cross multiply
    220.96x = 329.32 × 212.80
  4. Step 4: Simplify right side
    220.96x = 70,079.30
  5. Step 5: Solve for x
    x = 70,079.30/220.96
  6. Step 6: Final answer
    x = 317.16

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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.