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Finding the Fourth Proportional to 322.05, 481.12 and 205.57

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Solution

The fourth proportional to 322.05, 481.12 and 205.57 is: 307.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.05 : 481.12 = 205.57 : x
  2. Step 2: Convert to fraction form
    322.05/481.12 = 205.57/x
  3. Step 3: Cross multiply
    322.05x = 481.12 × 205.57
  4. Step 4: Simplify right side
    322.05x = 98,903.84
  5. Step 5: Solve for x
    x = 98,903.84/322.05
  6. Step 6: Final answer
    x = 307.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.