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Finding the Fourth Proportional to 442.85, 664.29 and 199.37

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Solution

The fourth proportional to 442.85, 664.29 and 199.37 is: 299.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.85 : 664.29 = 199.37 : x
  2. Step 2: Convert to fraction form
    442.85/664.29 = 199.37/x
  3. Step 3: Cross multiply
    442.85x = 664.29 × 199.37
  4. Step 4: Simplify right side
    442.85x = 132,441.16
  5. Step 5: Solve for x
    x = 132,441.16/442.85
  6. Step 6: Final answer
    x = 299.07

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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.