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Finding the Fourth Proportional to 235.16, 351.92 and 161.69

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Solution

The fourth proportional to 235.16, 351.92 and 161.69 is: 241.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.16 : 351.92 = 161.69 : x
  2. Step 2: Convert to fraction form
    235.16/351.92 = 161.69/x
  3. Step 3: Cross multiply
    235.16x = 351.92 × 161.69
  4. Step 4: Simplify right side
    235.16x = 56,901.14
  5. Step 5: Solve for x
    x = 56,901.14/235.16
  6. Step 6: Final answer
    x = 241.97

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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.