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Finding the Fourth Proportional to 323.12, 445.83 and 211.11

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Solution

The fourth proportional to 323.12, 445.83 and 211.11 is: 291.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.12 : 445.83 = 211.11 : x
  2. Step 2: Convert to fraction form
    323.12/445.83 = 211.11/x
  3. Step 3: Cross multiply
    323.12x = 445.83 × 211.11
  4. Step 4: Simplify right side
    323.12x = 94,119.17
  5. Step 5: Solve for x
    x = 94,119.17/323.12
  6. Step 6: Final answer
    x = 291.29

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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.