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Finding the Fourth Proportional to 382.90, 571.55 and 350.44

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Solution

The fourth proportional to 382.90, 571.55 and 350.44 is: 523.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.90 : 571.55 = 350.44 : x
  2. Step 2: Convert to fraction form
    382.90/571.55 = 350.44/x
  3. Step 3: Cross multiply
    382.90x = 571.55 × 350.44
  4. Step 4: Simplify right side
    382.90x = 200,293.98
  5. Step 5: Solve for x
    x = 200,293.98/382.90
  6. Step 6: Final answer
    x = 523.10

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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.