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Finding the Fourth Proportional to 277.20, 413.28 and 270.81

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Solution

The fourth proportional to 277.20, 413.28 and 270.81 is: 403.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.20 : 413.28 = 270.81 : x
  2. Step 2: Convert to fraction form
    277.20/413.28 = 270.81/x
  3. Step 3: Cross multiply
    277.20x = 413.28 × 270.81
  4. Step 4: Simplify right side
    277.20x = 111,920.36
  5. Step 5: Solve for x
    x = 111,920.36/277.20
  6. Step 6: Final answer
    x = 403.75

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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.