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Finding the Fourth Proportional to 321.65, 443.88 and 195.59

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Solution

The fourth proportional to 321.65, 443.88 and 195.59 is: 269.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.65 : 443.88 = 195.59 : x
  2. Step 2: Convert to fraction form
    321.65/443.88 = 195.59/x
  3. Step 3: Cross multiply
    321.65x = 443.88 × 195.59
  4. Step 4: Simplify right side
    321.65x = 86,816.27
  5. Step 5: Solve for x
    x = 86,816.27/321.65
  6. Step 6: Final answer
    x = 269.91

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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.