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Finding the Fourth Proportional to 398.98, 596.91 and 345.46

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Solution

The fourth proportional to 398.98, 596.91 and 345.46 is: 516.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.98 : 596.91 = 345.46 : x
  2. Step 2: Convert to fraction form
    398.98/596.91 = 345.46/x
  3. Step 3: Cross multiply
    398.98x = 596.91 × 345.46
  4. Step 4: Simplify right side
    398.98x = 206,208.53
  5. Step 5: Solve for x
    x = 206,208.53/398.98
  6. Step 6: Final answer
    x = 516.84

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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.