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Finding the Fourth Proportional to 160.96, 241.17 and 115.09

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Solution

The fourth proportional to 160.96, 241.17 and 115.09 is: 172.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.96 : 241.17 = 115.09 : x
  2. Step 2: Convert to fraction form
    160.96/241.17 = 115.09/x
  3. Step 3: Cross multiply
    160.96x = 241.17 × 115.09
  4. Step 4: Simplify right side
    160.96x = 27,756.26
  5. Step 5: Solve for x
    x = 27,756.26/160.96
  6. Step 6: Final answer
    x = 172.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.