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Finding the Fourth Proportional to 277.76, 413.76 and 276.48

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Solution

The fourth proportional to 277.76, 413.76 and 276.48 is: 411.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.76 : 413.76 = 276.48 : x
  2. Step 2: Convert to fraction form
    277.76/413.76 = 276.48/x
  3. Step 3: Cross multiply
    277.76x = 413.76 × 276.48
  4. Step 4: Simplify right side
    277.76x = 114,396.36
  5. Step 5: Solve for x
    x = 114,396.36/277.76
  6. Step 6: Final answer
    x = 411.85

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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.