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Finding the Fourth Proportional to 322.45, 445.01 and 191.50

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Solution

The fourth proportional to 322.45, 445.01 and 191.50 is: 264.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.45 : 445.01 = 191.50 : x
  2. Step 2: Convert to fraction form
    322.45/445.01 = 191.50/x
  3. Step 3: Cross multiply
    322.45x = 445.01 × 191.50
  4. Step 4: Simplify right side
    322.45x = 85,217.34
  5. Step 5: Solve for x
    x = 85,217.34/322.45
  6. Step 6: Final answer
    x = 264.28

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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.