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Finding the Fourth Proportional to 442.38, 664.83 and 299.10

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Solution

The fourth proportional to 442.38, 664.83 and 299.10 is: 449.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.38 : 664.83 = 299.10 : x
  2. Step 2: Convert to fraction form
    442.38/664.83 = 299.10/x
  3. Step 3: Cross multiply
    442.38x = 664.83 × 299.10
  4. Step 4: Simplify right side
    442.38x = 198,850.65
  5. Step 5: Solve for x
    x = 198,850.65/442.38
  6. Step 6: Final answer
    x = 449.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.