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Finding the Fourth Proportional to 277.19, 413.90 and 244

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Solution

The fourth proportional to 277.19, 413.90 and 244 is: 364.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.19 : 413.90 = 244 : x
  2. Step 2: Convert to fraction form
    277.19/413.90 = 244/x
  3. Step 3: Cross multiply
    277.19x = 413.90 × 244
  4. Step 4: Simplify right side
    277.19x = 100,991.60
  5. Step 5: Solve for x
    x = 100,991.60/277.19
  6. Step 6: Final answer
    x = 364.34

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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.