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Finding the Fourth Proportional to 299.45, 447.35 and 238.65

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Solution

The fourth proportional to 299.45, 447.35 and 238.65 is: 356.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.45 : 447.35 = 238.65 : x
  2. Step 2: Convert to fraction form
    299.45/447.35 = 238.65/x
  3. Step 3: Cross multiply
    299.45x = 447.35 × 238.65
  4. Step 4: Simplify right side
    299.45x = 106,760.08
  5. Step 5: Solve for x
    x = 106,760.08/299.45
  6. Step 6: Final answer
    x = 356.52

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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.