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Finding the Fourth Proportional to 382.09, 523.80 and 376.39

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Solution

The fourth proportional to 382.09, 523.80 and 376.39 is: 515.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.09 : 523.80 = 376.39 : x
  2. Step 2: Convert to fraction form
    382.09/523.80 = 376.39/x
  3. Step 3: Cross multiply
    382.09x = 523.80 × 376.39
  4. Step 4: Simplify right side
    382.09x = 197,153.08
  5. Step 5: Solve for x
    x = 197,153.08/382.09
  6. Step 6: Final answer
    x = 515.99

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.