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Finding the Fourth Proportional to 275.72, 411.76 and 221.44

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Solution

The fourth proportional to 275.72, 411.76 and 221.44 is: 330.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.72 : 411.76 = 221.44 : x
  2. Step 2: Convert to fraction form
    275.72/411.76 = 221.44/x
  3. Step 3: Cross multiply
    275.72x = 411.76 × 221.44
  4. Step 4: Simplify right side
    275.72x = 91,180.13
  5. Step 5: Solve for x
    x = 91,180.13/275.72
  6. Step 6: Final answer
    x = 330.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.