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Finding the Fourth Proportional to 398.09, 596.90 and 186.95

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Solution

The fourth proportional to 398.09, 596.90 and 186.95 is: 280.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.09 : 596.90 = 186.95 : x
  2. Step 2: Convert to fraction form
    398.09/596.90 = 186.95/x
  3. Step 3: Cross multiply
    398.09x = 596.90 × 186.95
  4. Step 4: Simplify right side
    398.09x = 111,589.52
  5. Step 5: Solve for x
    x = 111,589.52/398.09
  6. Step 6: Final answer
    x = 280.31

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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.