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Finding the Fourth Proportional to 320.35, 441.89 and 196.02

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Solution

The fourth proportional to 320.35, 441.89 and 196.02 is: 270.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.35 : 441.89 = 196.02 : x
  2. Step 2: Convert to fraction form
    320.35/441.89 = 196.02/x
  3. Step 3: Cross multiply
    320.35x = 441.89 × 196.02
  4. Step 4: Simplify right side
    320.35x = 86,616.09
  5. Step 5: Solve for x
    x = 86,616.09/320.35
  6. Step 6: Final answer
    x = 270.38

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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.