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Finding the Fourth Proportional to 221.16, 330.78 and 200.72

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Solution

The fourth proportional to 221.16, 330.78 and 200.72 is: 300.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.16 : 330.78 = 200.72 : x
  2. Step 2: Convert to fraction form
    221.16/330.78 = 200.72/x
  3. Step 3: Cross multiply
    221.16x = 330.78 × 200.72
  4. Step 4: Simplify right side
    221.16x = 66,394.16
  5. Step 5: Solve for x
    x = 66,394.16/221.16
  6. Step 6: Final answer
    x = 300.21

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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.