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Finding the Fourth Proportional to 382.94, 527.94 and 327.44

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Solution

The fourth proportional to 382.94, 527.94 and 327.44 is: 451.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.94 : 527.94 = 327.44 : x
  2. Step 2: Convert to fraction form
    382.94/527.94 = 327.44/x
  3. Step 3: Cross multiply
    382.94x = 527.94 × 327.44
  4. Step 4: Simplify right side
    382.94x = 172,868.67
  5. Step 5: Solve for x
    x = 172,868.67/382.94
  6. Step 6: Final answer
    x = 451.42

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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.