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Finding the Fourth Proportional to 299.79, 447.15 and 290.68

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Solution

The fourth proportional to 299.79, 447.15 and 290.68 is: 433.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.79 : 447.15 = 290.68 : x
  2. Step 2: Convert to fraction form
    299.79/447.15 = 290.68/x
  3. Step 3: Cross multiply
    299.79x = 447.15 × 290.68
  4. Step 4: Simplify right side
    299.79x = 129,976.44
  5. Step 5: Solve for x
    x = 129,976.44/299.79
  6. Step 6: Final answer
    x = 433.56

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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.