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Finding the Fourth Proportional to 161.44, 240.20 and 160.92

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Solution

The fourth proportional to 161.44, 240.20 and 160.92 is: 239.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.44 : 240.20 = 160.92 : x
  2. Step 2: Convert to fraction form
    161.44/240.20 = 160.92/x
  3. Step 3: Cross multiply
    161.44x = 240.20 × 160.92
  4. Step 4: Simplify right side
    161.44x = 38,652.98
  5. Step 5: Solve for x
    x = 38,652.98/161.44
  6. Step 6: Final answer
    x = 239.43

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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.