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Finding the Fourth Proportional to 443.75, 665.79 and 321.80

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Solution

The fourth proportional to 443.75, 665.79 and 321.80 is: 482.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.75 : 665.79 = 321.80 : x
  2. Step 2: Convert to fraction form
    443.75/665.79 = 321.80/x
  3. Step 3: Cross multiply
    443.75x = 665.79 × 321.80
  4. Step 4: Simplify right side
    443.75x = 214,249.61
  5. Step 5: Solve for x
    x = 214,249.61/443.75
  6. Step 6: Final answer
    x = 482.82

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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.