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Finding the Fourth Proportional to 219.20, 330.56 and 206.72

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Solution

The fourth proportional to 219.20, 330.56 and 206.72 is: 311.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.20 : 330.56 = 206.72 : x
  2. Step 2: Convert to fraction form
    219.20/330.56 = 206.72/x
  3. Step 3: Cross multiply
    219.20x = 330.56 × 206.72
  4. Step 4: Simplify right side
    219.20x = 68,333.36
  5. Step 5: Solve for x
    x = 68,333.36/219.20
  6. Step 6: Final answer
    x = 311.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.