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Finding the Fourth Proportional to 394.86, 591.46 and 249.86

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Solution

The fourth proportional to 394.86, 591.46 and 249.86 is: 374.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.86 : 591.46 = 249.86 : x
  2. Step 2: Convert to fraction form
    394.86/591.46 = 249.86/x
  3. Step 3: Cross multiply
    394.86x = 591.46 × 249.86
  4. Step 4: Simplify right side
    394.86x = 147,782.20
  5. Step 5: Solve for x
    x = 147,782.20/394.86
  6. Step 6: Final answer
    x = 374.26

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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.