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Finding the Fourth Proportional to 443.60, 665.39 and 199.95

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Solution

The fourth proportional to 443.60, 665.39 and 199.95 is: 299.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.60 : 665.39 = 199.95 : x
  2. Step 2: Convert to fraction form
    443.60/665.39 = 199.95/x
  3. Step 3: Cross multiply
    443.60x = 665.39 × 199.95
  4. Step 4: Simplify right side
    443.60x = 133,044.73
  5. Step 5: Solve for x
    x = 133,044.73/443.60
  6. Step 6: Final answer
    x = 299.92

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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.