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Finding the Fourth Proportional to 277.56, 413.06 and 268.33

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Solution

The fourth proportional to 277.56, 413.06 and 268.33 is: 399.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.56 : 413.06 = 268.33 : x
  2. Step 2: Convert to fraction form
    277.56/413.06 = 268.33/x
  3. Step 3: Cross multiply
    277.56x = 413.06 × 268.33
  4. Step 4: Simplify right side
    277.56x = 110,836.30
  5. Step 5: Solve for x
    x = 110,836.30/277.56
  6. Step 6: Final answer
    x = 399.33

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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.