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Finding the Fourth Proportional to 321.09, 443.05 and 204.63

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Solution

The fourth proportional to 321.09, 443.05 and 204.63 is: 282.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.09 : 443.05 = 204.63 : x
  2. Step 2: Convert to fraction form
    321.09/443.05 = 204.63/x
  3. Step 3: Cross multiply
    321.09x = 443.05 × 204.63
  4. Step 4: Simplify right side
    321.09x = 90,661.32
  5. Step 5: Solve for x
    x = 90,661.32/321.09
  6. Step 6: Final answer
    x = 282.35

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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.