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Finding the Fourth Proportional to 443.46, 664.12 and 378.09

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Solution

The fourth proportional to 443.46, 664.12 and 378.09 is: 566.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.46 : 664.12 = 378.09 : x
  2. Step 2: Convert to fraction form
    443.46/664.12 = 378.09/x
  3. Step 3: Cross multiply
    443.46x = 664.12 × 378.09
  4. Step 4: Simplify right side
    443.46x = 251,097.13
  5. Step 5: Solve for x
    x = 251,097.13/443.46
  6. Step 6: Final answer
    x = 566.22

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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.