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Finding the Fourth Proportional to 423.86, 584.91 and 249.21

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Solution

The fourth proportional to 423.86, 584.91 and 249.21 is: 343.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.86 : 584.91 = 249.21 : x
  2. Step 2: Convert to fraction form
    423.86/584.91 = 249.21/x
  3. Step 3: Cross multiply
    423.86x = 584.91 × 249.21
  4. Step 4: Simplify right side
    423.86x = 145,765.42
  5. Step 5: Solve for x
    x = 145,765.42/423.86
  6. Step 6: Final answer
    x = 343.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.