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Finding the Fourth Proportional to 382.27, 573.63 and 252.42

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Solution

The fourth proportional to 382.27, 573.63 and 252.42 is: 378.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.27 : 573.63 = 252.42 : x
  2. Step 2: Convert to fraction form
    382.27/573.63 = 252.42/x
  3. Step 3: Cross multiply
    382.27x = 573.63 × 252.42
  4. Step 4: Simplify right side
    382.27x = 144,794.01
  5. Step 5: Solve for x
    x = 144,794.01/382.27
  6. Step 6: Final answer
    x = 378.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.