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Finding the Fourth Proportional to 239.89, 331.05 and 141.65

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Solution

The fourth proportional to 239.89, 331.05 and 141.65 is: 195.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.89 : 331.05 = 141.65 : x
  2. Step 2: Convert to fraction form
    239.89/331.05 = 141.65/x
  3. Step 3: Cross multiply
    239.89x = 331.05 × 141.65
  4. Step 4: Simplify right side
    239.89x = 46,893.23
  5. Step 5: Solve for x
    x = 46,893.23/239.89
  6. Step 6: Final answer
    x = 195.48

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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.