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Finding the Fourth Proportional to 394.22, 588.99 and 299.79

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Solution

The fourth proportional to 394.22, 588.99 and 299.79 is: 447.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.22 : 588.99 = 299.79 : x
  2. Step 2: Convert to fraction form
    394.22/588.99 = 299.79/x
  3. Step 3: Cross multiply
    394.22x = 588.99 × 299.79
  4. Step 4: Simplify right side
    394.22x = 176,573.31
  5. Step 5: Solve for x
    x = 176,573.31/394.22
  6. Step 6: Final answer
    x = 447.91

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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.