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Finding the Fourth Proportional to 161.74, 241.44 and 150.49

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Solution

The fourth proportional to 161.74, 241.44 and 150.49 is: 224.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.74 : 241.44 = 150.49 : x
  2. Step 2: Convert to fraction form
    161.74/241.44 = 150.49/x
  3. Step 3: Cross multiply
    161.74x = 241.44 × 150.49
  4. Step 4: Simplify right side
    161.74x = 36,334.31
  5. Step 5: Solve for x
    x = 36,334.31/161.74
  6. Step 6: Final answer
    x = 224.65

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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.