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Finding the Fourth Proportional to 397.88, 600.38 and 382.88

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Solution

The fourth proportional to 397.88, 600.38 and 382.88 is: 577.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.88 : 600.38 = 382.88 : x
  2. Step 2: Convert to fraction form
    397.88/600.38 = 382.88/x
  3. Step 3: Cross multiply
    397.88x = 600.38 × 382.88
  4. Step 4: Simplify right side
    397.88x = 229,873.49
  5. Step 5: Solve for x
    x = 229,873.49/397.88
  6. Step 6: Final answer
    x = 577.75

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