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Finding the Fourth Proportional to 329.45, 496.04 and 248.99

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Solution

The fourth proportional to 329.45, 496.04 and 248.99 is: 374.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.45 : 496.04 = 248.99 : x
  2. Step 2: Convert to fraction form
    329.45/496.04 = 248.99/x
  3. Step 3: Cross multiply
    329.45x = 496.04 × 248.99
  4. Step 4: Simplify right side
    329.45x = 123,505.27
  5. Step 5: Solve for x
    x = 123,505.27/329.45
  6. Step 6: Final answer
    x = 374.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.