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Finding the Fourth Proportional to 382.26, 573.39 and 314.43

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Solution

The fourth proportional to 382.26, 573.39 and 314.43 is: 471.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.26 : 573.39 = 314.43 : x
  2. Step 2: Convert to fraction form
    382.26/573.39 = 314.43/x
  3. Step 3: Cross multiply
    382.26x = 573.39 × 314.43
  4. Step 4: Simplify right side
    382.26x = 180,291.02
  5. Step 5: Solve for x
    x = 180,291.02/382.26
  6. Step 6: Final answer
    x = 471.65

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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.