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Finding the Fourth Proportional to 161.33, 240.20 and 160.43

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Solution

The fourth proportional to 161.33, 240.20 and 160.43 is: 238.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.33 : 240.20 = 160.43 : x
  2. Step 2: Convert to fraction form
    161.33/240.20 = 160.43/x
  3. Step 3: Cross multiply
    161.33x = 240.20 × 160.43
  4. Step 4: Simplify right side
    161.33x = 38,533.88
  5. Step 5: Solve for x
    x = 38,533.88/161.33
  6. Step 6: Final answer
    x = 238.86

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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.