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Finding the Fourth Proportional to 382.94, 573.11 and 318.88

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Solution

The fourth proportional to 382.94, 573.11 and 318.88 is: 477.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.94 : 573.11 = 318.88 : x
  2. Step 2: Convert to fraction form
    382.94/573.11 = 318.88/x
  3. Step 3: Cross multiply
    382.94x = 573.11 × 318.88
  4. Step 4: Simplify right side
    382.94x = 182,753.32
  5. Step 5: Solve for x
    x = 182,753.32/382.94
  6. Step 6: Final answer
    x = 477.24

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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.