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Finding the Fourth Proportional to 277.86, 414.42 and 273.72

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Solution

The fourth proportional to 277.86, 414.42 and 273.72 is: 408.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.86 : 414.42 = 273.72 : x
  2. Step 2: Convert to fraction form
    277.86/414.42 = 273.72/x
  3. Step 3: Cross multiply
    277.86x = 414.42 × 273.72
  4. Step 4: Simplify right side
    277.86x = 113,435.04
  5. Step 5: Solve for x
    x = 113,435.04/277.86
  6. Step 6: Final answer
    x = 408.25

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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.