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Finding the Fourth Proportional to 161.78, 241.48 and 138.56

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Solution

The fourth proportional to 161.78, 241.48 and 138.56 is: 206.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.78 : 241.48 = 138.56 : x
  2. Step 2: Convert to fraction form
    161.78/241.48 = 138.56/x
  3. Step 3: Cross multiply
    161.78x = 241.48 × 138.56
  4. Step 4: Simplify right side
    161.78x = 33,459.47
  5. Step 5: Solve for x
    x = 33,459.47/161.78
  6. Step 6: Final answer
    x = 206.82

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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.