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Finding the Fourth Proportional to 400.26, 599.16 and 345.33

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Solution

The fourth proportional to 400.26, 599.16 and 345.33 is: 516.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.26 : 599.16 = 345.33 : x
  2. Step 2: Convert to fraction form
    400.26/599.16 = 345.33/x
  3. Step 3: Cross multiply
    400.26x = 599.16 × 345.33
  4. Step 4: Simplify right side
    400.26x = 206,907.92
  5. Step 5: Solve for x
    x = 206,907.92/400.26
  6. Step 6: Final answer
    x = 516.93

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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.