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Finding the Fourth Proportional to 220.28, 330.58 and 206.84

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Solution

The fourth proportional to 220.28, 330.58 and 206.84 is: 310.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.28 : 330.58 = 206.84 : x
  2. Step 2: Convert to fraction form
    220.28/330.58 = 206.84/x
  3. Step 3: Cross multiply
    220.28x = 330.58 × 206.84
  4. Step 4: Simplify right side
    220.28x = 68,375.77
  5. Step 5: Solve for x
    x = 68,375.77/220.28
  6. Step 6: Final answer
    x = 310.41

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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.