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Finding the Fourth Proportional to 443.18, 665.04 and 199.56

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Solution

The fourth proportional to 443.18, 665.04 and 199.56 is: 299.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.18 : 665.04 = 199.56 : x
  2. Step 2: Convert to fraction form
    443.18/665.04 = 199.56/x
  3. Step 3: Cross multiply
    443.18x = 665.04 × 199.56
  4. Step 4: Simplify right side
    443.18x = 132,715.38
  5. Step 5: Solve for x
    x = 132,715.38/443.18
  6. Step 6: Final answer
    x = 299.46

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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.