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Finding the Fourth Proportional to 321.25, 443.33 and 204.81

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Solution

The fourth proportional to 321.25, 443.33 and 204.81 is: 282.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.25 : 443.33 = 204.81 : x
  2. Step 2: Convert to fraction form
    321.25/443.33 = 204.81/x
  3. Step 3: Cross multiply
    321.25x = 443.33 × 204.81
  4. Step 4: Simplify right side
    321.25x = 90,798.42
  5. Step 5: Solve for x
    x = 90,798.42/321.25
  6. Step 6: Final answer
    x = 282.64

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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.