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Finding the Fourth Proportional to 220.77, 331.61 and 213.93

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Solution

The fourth proportional to 220.77, 331.61 and 213.93 is: 321.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.77 : 331.61 = 213.93 : x
  2. Step 2: Convert to fraction form
    220.77/331.61 = 213.93/x
  3. Step 3: Cross multiply
    220.77x = 331.61 × 213.93
  4. Step 4: Simplify right side
    220.77x = 70,940.26
  5. Step 5: Solve for x
    x = 70,940.26/220.77
  6. Step 6: Final answer
    x = 321.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.