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Finding the Fourth Proportional to 161.39, 240.15 and 160.85

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Solution

The fourth proportional to 161.39, 240.15 and 160.85 is: 239.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.39 : 240.15 = 160.85 : x
  2. Step 2: Convert to fraction form
    161.39/240.15 = 160.85/x
  3. Step 3: Cross multiply
    161.39x = 240.15 × 160.85
  4. Step 4: Simplify right side
    161.39x = 38,628.12
  5. Step 5: Solve for x
    x = 38,628.12/161.39
  6. Step 6: Final answer
    x = 239.34

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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.