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Finding the Fourth Proportional to 275.50, 411.73 and 221.14

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Solution

The fourth proportional to 275.50, 411.73 and 221.14 is: 330.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.50 : 411.73 = 221.14 : x
  2. Step 2: Convert to fraction form
    275.50/411.73 = 221.14/x
  3. Step 3: Cross multiply
    275.50x = 411.73 × 221.14
  4. Step 4: Simplify right side
    275.50x = 91,049.97
  5. Step 5: Solve for x
    x = 91,049.97/275.50
  6. Step 6: Final answer
    x = 330.49

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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.