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Finding the Fourth Proportional to 221.77, 331.07 and 220.24

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Solution

The fourth proportional to 221.77, 331.07 and 220.24 is: 328.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.77 : 331.07 = 220.24 : x
  2. Step 2: Convert to fraction form
    221.77/331.07 = 220.24/x
  3. Step 3: Cross multiply
    221.77x = 331.07 × 220.24
  4. Step 4: Simplify right side
    221.77x = 72,914.86
  5. Step 5: Solve for x
    x = 72,914.86/221.77
  6. Step 6: Final answer
    x = 328.79

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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.