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Finding the Fourth Proportional to 382.63, 527.46 and 271.75

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Solution

The fourth proportional to 382.63, 527.46 and 271.75 is: 374.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.63 : 527.46 = 271.75 : x
  2. Step 2: Convert to fraction form
    382.63/527.46 = 271.75/x
  3. Step 3: Cross multiply
    382.63x = 527.46 × 271.75
  4. Step 4: Simplify right side
    382.63x = 143,337.26
  5. Step 5: Solve for x
    x = 143,337.26/382.63
  6. Step 6: Final answer
    x = 374.61

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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.