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Finding the Fourth Proportional to 220.83, 329.62 and 212.12

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Solution

The fourth proportional to 220.83, 329.62 and 212.12 is: 316.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.83 : 329.62 = 212.12 : x
  2. Step 2: Convert to fraction form
    220.83/329.62 = 212.12/x
  3. Step 3: Cross multiply
    220.83x = 329.62 × 212.12
  4. Step 4: Simplify right side
    220.83x = 69,918.45
  5. Step 5: Solve for x
    x = 69,918.45/220.83
  6. Step 6: Final answer
    x = 316.62

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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.