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Finding the Fourth Proportional to 443.53, 664.96 and 212.27

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Solution

The fourth proportional to 443.53, 664.96 and 212.27 is: 318.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.53 : 664.96 = 212.27 : x
  2. Step 2: Convert to fraction form
    443.53/664.96 = 212.27/x
  3. Step 3: Cross multiply
    443.53x = 664.96 × 212.27
  4. Step 4: Simplify right side
    443.53x = 141,151.34
  5. Step 5: Solve for x
    x = 141,151.34/443.53
  6. Step 6: Final answer
    x = 318.25

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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.