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Finding the Fourth Proportional to 277.26, 413.31 and 261.72

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Solution

The fourth proportional to 277.26, 413.31 and 261.72 is: 390.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.26 : 413.31 = 261.72 : x
  2. Step 2: Convert to fraction form
    277.26/413.31 = 261.72/x
  3. Step 3: Cross multiply
    277.26x = 413.31 × 261.72
  4. Step 4: Simplify right side
    277.26x = 108,171.49
  5. Step 5: Solve for x
    x = 108,171.49/277.26
  6. Step 6: Final answer
    x = 390.14

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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.