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Finding the Fourth Proportional to 319.85, 441.42 and 195.53

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Solution

The fourth proportional to 319.85, 441.42 and 195.53 is: 269.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.85 : 441.42 = 195.53 : x
  2. Step 2: Convert to fraction form
    319.85/441.42 = 195.53/x
  3. Step 3: Cross multiply
    319.85x = 441.42 × 195.53
  4. Step 4: Simplify right side
    319.85x = 86,308.65
  5. Step 5: Solve for x
    x = 86,308.65/319.85
  6. Step 6: Final answer
    x = 269.85

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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.