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Finding the Fourth Proportional to 277.86, 381.45 and 270.84

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Solution

The fourth proportional to 277.86, 381.45 and 270.84 is: 371.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.86 : 381.45 = 270.84 : x
  2. Step 2: Convert to fraction form
    277.86/381.45 = 270.84/x
  3. Step 3: Cross multiply
    277.86x = 381.45 × 270.84
  4. Step 4: Simplify right side
    277.86x = 103,311.92
  5. Step 5: Solve for x
    x = 103,311.92/277.86
  6. Step 6: Final answer
    x = 371.81

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.