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Finding the Fourth Proportional to 323.18, 445.86 and 192.20

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Solution

The fourth proportional to 323.18, 445.86 and 192.20 is: 265.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.18 : 445.86 = 192.20 : x
  2. Step 2: Convert to fraction form
    323.18/445.86 = 192.20/x
  3. Step 3: Cross multiply
    323.18x = 445.86 × 192.20
  4. Step 4: Simplify right side
    323.18x = 85,694.29
  5. Step 5: Solve for x
    x = 85,694.29/323.18
  6. Step 6: Final answer
    x = 265.16

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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.