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Finding the Fourth Proportional to 161.46, 241.03 and 138.23

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Solution

The fourth proportional to 161.46, 241.03 and 138.23 is: 206.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.46 : 241.03 = 138.23 : x
  2. Step 2: Convert to fraction form
    161.46/241.03 = 138.23/x
  3. Step 3: Cross multiply
    161.46x = 241.03 × 138.23
  4. Step 4: Simplify right side
    161.46x = 33,315.98
  5. Step 5: Solve for x
    x = 33,315.98/161.46
  6. Step 6: Final answer
    x = 206.34

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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.