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Finding the Fourth Proportional to 443.72, 664.61 and 238.19

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Solution

The fourth proportional to 443.72, 664.61 and 238.19 is: 356.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.72 : 664.61 = 238.19 : x
  2. Step 2: Convert to fraction form
    443.72/664.61 = 238.19/x
  3. Step 3: Cross multiply
    443.72x = 664.61 × 238.19
  4. Step 4: Simplify right side
    443.72x = 158,300.73
  5. Step 5: Solve for x
    x = 158,300.73/443.72
  6. Step 6: Final answer
    x = 356.76

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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.