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Finding the Fourth Proportional to 183.35, 251.48 and 161.48

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Solution

The fourth proportional to 183.35, 251.48 and 161.48 is: 221.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.35 : 251.48 = 161.48 : x
  2. Step 2: Convert to fraction form
    183.35/251.48 = 161.48/x
  3. Step 3: Cross multiply
    183.35x = 251.48 × 161.48
  4. Step 4: Simplify right side
    183.35x = 40,610.02
  5. Step 5: Solve for x
    x = 40,610.02/183.35
  6. Step 6: Final answer
    x = 221.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.