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Finding the Fourth Proportional to 161.05, 240.55 and 138.31

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Solution

The fourth proportional to 161.05, 240.55 and 138.31 is: 206.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.05 : 240.55 = 138.31 : x
  2. Step 2: Convert to fraction form
    161.05/240.55 = 138.31/x
  3. Step 3: Cross multiply
    161.05x = 240.55 × 138.31
  4. Step 4: Simplify right side
    161.05x = 33,270.82
  5. Step 5: Solve for x
    x = 33,270.82/161.05
  6. Step 6: Final answer
    x = 206.59

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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.