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Finding the Fourth Proportional to 380.73, 573.12 and 273.27

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Solution

The fourth proportional to 380.73, 573.12 and 273.27 is: 411.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.73 : 573.12 = 273.27 : x
  2. Step 2: Convert to fraction form
    380.73/573.12 = 273.27/x
  3. Step 3: Cross multiply
    380.73x = 573.12 × 273.27
  4. Step 4: Simplify right side
    380.73x = 156,616.50
  5. Step 5: Solve for x
    x = 156,616.50/380.73
  6. Step 6: Final answer
    x = 411.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.