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Finding the Fourth Proportional to 221.56, 330.06 and 209.14

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Solution

The fourth proportional to 221.56, 330.06 and 209.14 is: 311.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.56 : 330.06 = 209.14 : x
  2. Step 2: Convert to fraction form
    221.56/330.06 = 209.14/x
  3. Step 3: Cross multiply
    221.56x = 330.06 × 209.14
  4. Step 4: Simplify right side
    221.56x = 69,028.75
  5. Step 5: Solve for x
    x = 69,028.75/221.56
  6. Step 6: Final answer
    x = 311.56

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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.