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Finding the Fourth Proportional to 381.78, 527.04 and 234.54

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Solution

The fourth proportional to 381.78, 527.04 and 234.54 is: 323.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.78 : 527.04 = 234.54 : x
  2. Step 2: Convert to fraction form
    381.78/527.04 = 234.54/x
  3. Step 3: Cross multiply
    381.78x = 527.04 × 234.54
  4. Step 4: Simplify right side
    381.78x = 123,611.96
  5. Step 5: Solve for x
    x = 123,611.96/381.78
  6. Step 6: Final answer
    x = 323.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.