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Finding the Fourth Proportional to 443.98, 665.07 and 227.17

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Solution

The fourth proportional to 443.98, 665.07 and 227.17 is: 340.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.98 : 665.07 = 227.17 : x
  2. Step 2: Convert to fraction form
    443.98/665.07 = 227.17/x
  3. Step 3: Cross multiply
    443.98x = 665.07 × 227.17
  4. Step 4: Simplify right side
    443.98x = 151,083.95
  5. Step 5: Solve for x
    x = 151,083.95/443.98
  6. Step 6: Final answer
    x = 340.29

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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.