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Finding the Fourth Proportional to 401.12, 599.96 and 343.92

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Solution

The fourth proportional to 401.12, 599.96 and 343.92 is: 514.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.12 : 599.96 = 343.92 : x
  2. Step 2: Convert to fraction form
    401.12/599.96 = 343.92/x
  3. Step 3: Cross multiply
    401.12x = 599.96 × 343.92
  4. Step 4: Simplify right side
    401.12x = 206,338.24
  5. Step 5: Solve for x
    x = 206,338.24/401.12
  6. Step 6: Final answer
    x = 514.41

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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.