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Finding the Fourth Proportional to 277.40, 413.24 and 268.90

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Solution

The fourth proportional to 277.40, 413.24 and 268.90 is: 400.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.40 : 413.24 = 268.90 : x
  2. Step 2: Convert to fraction form
    277.40/413.24 = 268.90/x
  3. Step 3: Cross multiply
    277.40x = 413.24 × 268.90
  4. Step 4: Simplify right side
    277.40x = 111,120.24
  5. Step 5: Solve for x
    x = 111,120.24/277.40
  6. Step 6: Final answer
    x = 400.58

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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.