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Finding the Fourth Proportional to 277.56, 413.82 and 273.96

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Solution

The fourth proportional to 277.56, 413.82 and 273.96 is: 408.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.56 : 413.82 = 273.96 : x
  2. Step 2: Convert to fraction form
    277.56/413.82 = 273.96/x
  3. Step 3: Cross multiply
    277.56x = 413.82 × 273.96
  4. Step 4: Simplify right side
    277.56x = 113,370.13
  5. Step 5: Solve for x
    x = 113,370.13/277.56
  6. Step 6: Final answer
    x = 408.45

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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.