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Finding the Fourth Proportional to 161.48, 241.97 and 120.87

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Solution

The fourth proportional to 161.48, 241.97 and 120.87 is: 181.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.48 : 241.97 = 120.87 : x
  2. Step 2: Convert to fraction form
    161.48/241.97 = 120.87/x
  3. Step 3: Cross multiply
    161.48x = 241.97 × 120.87
  4. Step 4: Simplify right side
    161.48x = 29,246.31
  5. Step 5: Solve for x
    x = 29,246.31/161.48
  6. Step 6: Final answer
    x = 181.12

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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.