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Finding the Fourth Proportional to 399.12, 596.96 and 341.92

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Solution

The fourth proportional to 399.12, 596.96 and 341.92 is: 511.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.12 : 596.96 = 341.92 : x
  2. Step 2: Convert to fraction form
    399.12/596.96 = 341.92/x
  3. Step 3: Cross multiply
    399.12x = 596.96 × 341.92
  4. Step 4: Simplify right side
    399.12x = 204,112.56
  5. Step 5: Solve for x
    x = 204,112.56/399.12
  6. Step 6: Final answer
    x = 511.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.