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Finding the Fourth Proportional to 423.73, 584.81 and 249.09

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Solution

The fourth proportional to 423.73, 584.81 and 249.09 is: 343.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.73 : 584.81 = 249.09 : x
  2. Step 2: Convert to fraction form
    423.73/584.81 = 249.09/x
  3. Step 3: Cross multiply
    423.73x = 584.81 × 249.09
  4. Step 4: Simplify right side
    423.73x = 145,670.32
  5. Step 5: Solve for x
    x = 145,670.32/423.73
  6. Step 6: Final answer
    x = 343.78

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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.