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Finding the Fourth Proportional to 161.82, 241.54 and 150.54

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Solution

The fourth proportional to 161.82, 241.54 and 150.54 is: 224.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.82 : 241.54 = 150.54 : x
  2. Step 2: Convert to fraction form
    161.82/241.54 = 150.54/x
  3. Step 3: Cross multiply
    161.82x = 241.54 × 150.54
  4. Step 4: Simplify right side
    161.82x = 36,361.43
  5. Step 5: Solve for x
    x = 36,361.43/161.82
  6. Step 6: Final answer
    x = 224.70

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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.