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Finding the Fourth Proportional to 322.98, 445.89 and 192.02

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Solution

The fourth proportional to 322.98, 445.89 and 192.02 is: 265.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.98 : 445.89 = 192.02 : x
  2. Step 2: Convert to fraction form
    322.98/445.89 = 192.02/x
  3. Step 3: Cross multiply
    322.98x = 445.89 × 192.02
  4. Step 4: Simplify right side
    322.98x = 85,619.80
  5. Step 5: Solve for x
    x = 85,619.80/322.98
  6. Step 6: Final answer
    x = 265.09

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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.