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Finding the Fourth Proportional to 382.93, 571.46 and 331.49

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Solution

The fourth proportional to 382.93, 571.46 and 331.49 is: 494.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.93 : 571.46 = 331.49 : x
  2. Step 2: Convert to fraction form
    382.93/571.46 = 331.49/x
  3. Step 3: Cross multiply
    382.93x = 571.46 × 331.49
  4. Step 4: Simplify right side
    382.93x = 189,433.05
  5. Step 5: Solve for x
    x = 189,433.05/382.93
  6. Step 6: Final answer
    x = 494.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.