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Finding the Fourth Proportional to 382.11, 527.15 and 271.65

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Solution

The fourth proportional to 382.11, 527.15 and 271.65 is: 374.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.11 : 527.15 = 271.65 : x
  2. Step 2: Convert to fraction form
    382.11/527.15 = 271.65/x
  3. Step 3: Cross multiply
    382.11x = 527.15 × 271.65
  4. Step 4: Simplify right side
    382.11x = 143,198.94
  5. Step 5: Solve for x
    x = 143,198.94/382.11
  6. Step 6: Final answer
    x = 374.76

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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.