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Finding the Fourth Proportional to 219.81, 327.56 and 206.82

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Solution

The fourth proportional to 219.81, 327.56 and 206.82 is: 308.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.81 : 327.56 = 206.82 : x
  2. Step 2: Convert to fraction form
    219.81/327.56 = 206.82/x
  3. Step 3: Cross multiply
    219.81x = 327.56 × 206.82
  4. Step 4: Simplify right side
    219.81x = 67,746.26
  5. Step 5: Solve for x
    x = 67,746.26/219.81
  6. Step 6: Final answer
    x = 308.21

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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.