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Finding the Fourth Proportional to 423.74, 584.82 and 249.14

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Solution

The fourth proportional to 423.74, 584.82 and 249.14 is: 343.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.74 : 584.82 = 249.14 : x
  2. Step 2: Convert to fraction form
    423.74/584.82 = 249.14/x
  3. Step 3: Cross multiply
    423.74x = 584.82 × 249.14
  4. Step 4: Simplify right side
    423.74x = 145,702.05
  5. Step 5: Solve for x
    x = 145,702.05/423.74
  6. Step 6: Final answer
    x = 343.85

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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.