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Finding the Fourth Proportional to 381.85, 527.42 and 276.77

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Solution

The fourth proportional to 381.85, 527.42 and 276.77 is: 382.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.85 : 527.42 = 276.77 : x
  2. Step 2: Convert to fraction form
    381.85/527.42 = 276.77/x
  3. Step 3: Cross multiply
    381.85x = 527.42 × 276.77
  4. Step 4: Simplify right side
    381.85x = 145,974.03
  5. Step 5: Solve for x
    x = 145,974.03/381.85
  6. Step 6: Final answer
    x = 382.28

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Why These Related Problems?

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