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Finding the Fourth Proportional to 322.46, 445.00 and 191.48

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Solution

The fourth proportional to 322.46, 445.00 and 191.48 is: 264.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.46 : 445.00 = 191.48 : x
  2. Step 2: Convert to fraction form
    322.46/445.00 = 191.48/x
  3. Step 3: Cross multiply
    322.46x = 445.00 × 191.48
  4. Step 4: Simplify right side
    322.46x = 85,205.90
  5. Step 5: Solve for x
    x = 85,205.90/322.46
  6. Step 6: Final answer
    x = 264.24

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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.