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Finding the Fourth Proportional to 277.78, 381.32 and 238.90

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Solution

The fourth proportional to 277.78, 381.32 and 238.90 is: 327.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.78 : 381.32 = 238.90 : x
  2. Step 2: Convert to fraction form
    277.78/381.32 = 238.90/x
  3. Step 3: Cross multiply
    277.78x = 381.32 × 238.90
  4. Step 4: Simplify right side
    277.78x = 91,097.35
  5. Step 5: Solve for x
    x = 91,097.35/277.78
  6. Step 6: Final answer
    x = 327.95

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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.