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Finding the Fourth Proportional to 392.45, 584.79 and 349.39

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Solution

The fourth proportional to 392.45, 584.79 and 349.39 is: 520.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.45 : 584.79 = 349.39 : x
  2. Step 2: Convert to fraction form
    392.45/584.79 = 349.39/x
  3. Step 3: Cross multiply
    392.45x = 584.79 × 349.39
  4. Step 4: Simplify right side
    392.45x = 204,318.32
  5. Step 5: Solve for x
    x = 204,318.32/392.45
  6. Step 6: Final answer
    x = 520.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.