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Finding the Fourth Proportional to 320.14, 441.60 and 195.82

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Solution

The fourth proportional to 320.14, 441.60 and 195.82 is: 270.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.14 : 441.60 = 195.82 : x
  2. Step 2: Convert to fraction form
    320.14/441.60 = 195.82/x
  3. Step 3: Cross multiply
    320.14x = 441.60 × 195.82
  4. Step 4: Simplify right side
    320.14x = 86,474.11
  5. Step 5: Solve for x
    x = 86,474.11/320.14
  6. Step 6: Final answer
    x = 270.11

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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.