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Finding the Fourth Proportional to 299.61, 447.30 and 248.31

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Solution

The fourth proportional to 299.61, 447.30 and 248.31 is: 370.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.61 : 447.30 = 248.31 : x
  2. Step 2: Convert to fraction form
    299.61/447.30 = 248.31/x
  3. Step 3: Cross multiply
    299.61x = 447.30 × 248.31
  4. Step 4: Simplify right side
    299.61x = 111,069.06
  5. Step 5: Solve for x
    x = 111,069.06/299.61
  6. Step 6: Final answer
    x = 370.71

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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.