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Finding the Fourth Proportional to 161.95, 244.09 and 153.85

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Solution

The fourth proportional to 161.95, 244.09 and 153.85 is: 231.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.95 : 244.09 = 153.85 : x
  2. Step 2: Convert to fraction form
    161.95/244.09 = 153.85/x
  3. Step 3: Cross multiply
    161.95x = 244.09 × 153.85
  4. Step 4: Simplify right side
    161.95x = 37,553.25
  5. Step 5: Solve for x
    x = 37,553.25/161.95
  6. Step 6: Final answer
    x = 231.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.