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Finding the Fourth Proportional to 443.27, 665.33 and 212.27

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Solution

The fourth proportional to 443.27, 665.33 and 212.27 is: 318.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.27 : 665.33 = 212.27 : x
  2. Step 2: Convert to fraction form
    443.27/665.33 = 212.27/x
  3. Step 3: Cross multiply
    443.27x = 665.33 × 212.27
  4. Step 4: Simplify right side
    443.27x = 141,225.21
  5. Step 5: Solve for x
    x = 141,225.21/443.27
  6. Step 6: Final answer
    x = 318.60

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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.