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Finding the Fourth Proportional to 221.77, 330.50 and 205.75

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Solution

The fourth proportional to 221.77, 330.50 and 205.75 is: 306.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.77 : 330.50 = 205.75 : x
  2. Step 2: Convert to fraction form
    221.77/330.50 = 205.75/x
  3. Step 3: Cross multiply
    221.77x = 330.50 × 205.75
  4. Step 4: Simplify right side
    221.77x = 68,000.38
  5. Step 5: Solve for x
    x = 68,000.38/221.77
  6. Step 6: Final answer
    x = 306.63

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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.