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Finding the Fourth Proportional to 161.62, 241.97 and 128.81

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Solution

The fourth proportional to 161.62, 241.97 and 128.81 is: 192.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.62 : 241.97 = 128.81 : x
  2. Step 2: Convert to fraction form
    161.62/241.97 = 128.81/x
  3. Step 3: Cross multiply
    161.62x = 241.97 × 128.81
  4. Step 4: Simplify right side
    161.62x = 31,168.16
  5. Step 5: Solve for x
    x = 31,168.16/161.62
  6. Step 6: Final answer
    x = 192.85

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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.