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Finding the Fourth Proportional to 443.34, 665.42 and 227.07

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Solution

The fourth proportional to 443.34, 665.42 and 227.07 is: 340.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.34 : 665.42 = 227.07 : x
  2. Step 2: Convert to fraction form
    443.34/665.42 = 227.07/x
  3. Step 3: Cross multiply
    443.34x = 665.42 × 227.07
  4. Step 4: Simplify right side
    443.34x = 151,095.78
  5. Step 5: Solve for x
    x = 151,095.78/443.34
  6. Step 6: Final answer
    x = 340.81

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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.