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Finding the Fourth Proportional to 443.12, 610.62 and 326.48

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Solution

The fourth proportional to 443.12, 610.62 and 326.48 is: 449.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.12 : 610.62 = 326.48 : x
  2. Step 2: Convert to fraction form
    443.12/610.62 = 326.48/x
  3. Step 3: Cross multiply
    443.12x = 610.62 × 326.48
  4. Step 4: Simplify right side
    443.12x = 199,355.22
  5. Step 5: Solve for x
    x = 199,355.22/443.12
  6. Step 6: Final answer
    x = 449.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.