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Finding the Fourth Proportional to 443.96, 665.78 and 213.11

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Solution

The fourth proportional to 443.96, 665.78 and 213.11 is: 319.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.96 : 665.78 = 213.11 : x
  2. Step 2: Convert to fraction form
    443.96/665.78 = 213.11/x
  3. Step 3: Cross multiply
    443.96x = 665.78 × 213.11
  4. Step 4: Simplify right side
    443.96x = 141,881.05
  5. Step 5: Solve for x
    x = 141,881.05/443.96
  6. Step 6: Final answer
    x = 319.58

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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.