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Finding the Fourth Proportional to 280.97, 418.89 and 273.87

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Solution

The fourth proportional to 280.97, 418.89 and 273.87 is: 408.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.97 : 418.89 = 273.87 : x
  2. Step 2: Convert to fraction form
    280.97/418.89 = 273.87/x
  3. Step 3: Cross multiply
    280.97x = 418.89 × 273.87
  4. Step 4: Simplify right side
    280.97x = 114,721.40
  5. Step 5: Solve for x
    x = 114,721.40/280.97
  6. Step 6: Final answer
    x = 408.31

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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.