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Finding the Fourth Proportional to 277.45, 413.38 and 273.49

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Solution

The fourth proportional to 277.45, 413.38 and 273.49 is: 407.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.45 : 413.38 = 273.49 : x
  2. Step 2: Convert to fraction form
    277.45/413.38 = 273.49/x
  3. Step 3: Cross multiply
    277.45x = 413.38 × 273.49
  4. Step 4: Simplify right side
    277.45x = 113,055.30
  5. Step 5: Solve for x
    x = 113,055.30/277.45
  6. Step 6: Final answer
    x = 407.48

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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.