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Finding the Fourth Proportional to 219.68, 330.06 and 206.72

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Solution

The fourth proportional to 219.68, 330.06 and 206.72 is: 310.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.68 : 330.06 = 206.72 : x
  2. Step 2: Convert to fraction form
    219.68/330.06 = 206.72/x
  3. Step 3: Cross multiply
    219.68x = 330.06 × 206.72
  4. Step 4: Simplify right side
    219.68x = 68,230.00
  5. Step 5: Solve for x
    x = 68,230.00/219.68
  6. Step 6: Final answer
    x = 310.59

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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.