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Finding the Fourth Proportional to 278.66, 381.75 and 268.27

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Solution

The fourth proportional to 278.66, 381.75 and 268.27 is: 367.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.66 : 381.75 = 268.27 : x
  2. Step 2: Convert to fraction form
    278.66/381.75 = 268.27/x
  3. Step 3: Cross multiply
    278.66x = 381.75 × 268.27
  4. Step 4: Simplify right side
    278.66x = 102,413.45
  5. Step 5: Solve for x
    x = 102,413.45/278.66
  6. Step 6: Final answer
    x = 367.53

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.