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Finding the Fourth Proportional to 276.97, 413.60 and 262.93

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Solution

The fourth proportional to 276.97, 413.60 and 262.93 is: 392.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.97 : 413.60 = 262.93 : x
  2. Step 2: Convert to fraction form
    276.97/413.60 = 262.93/x
  3. Step 3: Cross multiply
    276.97x = 413.60 × 262.93
  4. Step 4: Simplify right side
    276.97x = 108,747.85
  5. Step 5: Solve for x
    x = 108,747.85/276.97
  6. Step 6: Final answer
    x = 392.63

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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.