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Finding the Fourth Proportional to 219.56, 327.58 and 200.12

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Solution

The fourth proportional to 219.56, 327.58 and 200.12 is: 298.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.56 : 327.58 = 200.12 : x
  2. Step 2: Convert to fraction form
    219.56/327.58 = 200.12/x
  3. Step 3: Cross multiply
    219.56x = 327.58 × 200.12
  4. Step 4: Simplify right side
    219.56x = 65,555.31
  5. Step 5: Solve for x
    x = 65,555.31/219.56
  6. Step 6: Final answer
    x = 298.58

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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.