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Finding the Fourth Proportional to 321.75, 482.09 and 204.66

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Solution

The fourth proportional to 321.75, 482.09 and 204.66 is: 306.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.75 : 482.09 = 204.66 : x
  2. Step 2: Convert to fraction form
    321.75/482.09 = 204.66/x
  3. Step 3: Cross multiply
    321.75x = 482.09 × 204.66
  4. Step 4: Simplify right side
    321.75x = 98,663.52
  5. Step 5: Solve for x
    x = 98,663.52/321.75
  6. Step 6: Final answer
    x = 306.65

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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.