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Finding the Fourth Proportional to 161.79, 241.28 and 153.73

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Solution

The fourth proportional to 161.79, 241.28 and 153.73 is: 229.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.79 : 241.28 = 153.73 : x
  2. Step 2: Convert to fraction form
    161.79/241.28 = 153.73/x
  3. Step 3: Cross multiply
    161.79x = 241.28 × 153.73
  4. Step 4: Simplify right side
    161.79x = 37,092.08
  5. Step 5: Solve for x
    x = 37,092.08/161.79
  6. Step 6: Final answer
    x = 229.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.