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Finding the Fourth Proportional to 399.35, 596.13 and 350.75

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Solution

The fourth proportional to 399.35, 596.13 and 350.75 is: 523.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.35 : 596.13 = 350.75 : x
  2. Step 2: Convert to fraction form
    399.35/596.13 = 350.75/x
  3. Step 3: Cross multiply
    399.35x = 596.13 × 350.75
  4. Step 4: Simplify right side
    399.35x = 209,092.60
  5. Step 5: Solve for x
    x = 209,092.60/399.35
  6. Step 6: Final answer
    x = 523.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.