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Finding the Fourth Proportional to 443.05, 664.16 and 212.04

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Solution

The fourth proportional to 443.05, 664.16 and 212.04 is: 317.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.05 : 664.16 = 212.04 : x
  2. Step 2: Convert to fraction form
    443.05/664.16 = 212.04/x
  3. Step 3: Cross multiply
    443.05x = 664.16 × 212.04
  4. Step 4: Simplify right side
    443.05x = 140,829.02
  5. Step 5: Solve for x
    x = 140,829.02/443.05
  6. Step 6: Final answer
    x = 317.86

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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.