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Finding the Fourth Proportional to 369.59, 506.99 and 349.73

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Solution

The fourth proportional to 369.59, 506.99 and 349.73 is: 479.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.59 : 506.99 = 349.73 : x
  2. Step 2: Convert to fraction form
    369.59/506.99 = 349.73/x
  3. Step 3: Cross multiply
    369.59x = 506.99 × 349.73
  4. Step 4: Simplify right side
    369.59x = 177,309.61
  5. Step 5: Solve for x
    x = 177,309.61/369.59
  6. Step 6: Final answer
    x = 479.75

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.