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Finding the Fourth Proportional to 275.75, 380.40 and 220.56

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Solution

The fourth proportional to 275.75, 380.40 and 220.56 is: 304.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.75 : 380.40 = 220.56 : x
  2. Step 2: Convert to fraction form
    275.75/380.40 = 220.56/x
  3. Step 3: Cross multiply
    275.75x = 380.40 × 220.56
  4. Step 4: Simplify right side
    275.75x = 83,901.02
  5. Step 5: Solve for x
    x = 83,901.02/275.75
  6. Step 6: Final answer
    x = 304.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.