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Finding the Fourth Proportional to 382.37, 575.82 and 344.30

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Solution

The fourth proportional to 382.37, 575.82 and 344.30 is: 518.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.37 : 575.82 = 344.30 : x
  2. Step 2: Convert to fraction form
    382.37/575.82 = 344.30/x
  3. Step 3: Cross multiply
    382.37x = 575.82 × 344.30
  4. Step 4: Simplify right side
    382.37x = 198,251.95
  5. Step 5: Solve for x
    x = 198,251.95/382.37
  6. Step 6: Final answer
    x = 518.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.