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Finding the Fourth Proportional to 323.15, 445.23 and 212.44

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Solution

The fourth proportional to 323.15, 445.23 and 212.44 is: 292.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.15 : 445.23 = 212.44 : x
  2. Step 2: Convert to fraction form
    323.15/445.23 = 212.44/x
  3. Step 3: Cross multiply
    323.15x = 445.23 × 212.44
  4. Step 4: Simplify right side
    323.15x = 94,584.66
  5. Step 5: Solve for x
    x = 94,584.66/323.15
  6. Step 6: Final answer
    x = 292.70

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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.