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Finding the Fourth Proportional to 219.43, 327.29 and 206.74

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Solution

The fourth proportional to 219.43, 327.29 and 206.74 is: 308.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.43 : 327.29 = 206.74 : x
  2. Step 2: Convert to fraction form
    219.43/327.29 = 206.74/x
  3. Step 3: Cross multiply
    219.43x = 327.29 × 206.74
  4. Step 4: Simplify right side
    219.43x = 67,663.93
  5. Step 5: Solve for x
    x = 67,663.93/219.43
  6. Step 6: Final answer
    x = 308.36

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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.