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Finding the Fourth Proportional to 251.36, 346.74 and 161.48

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Solution

The fourth proportional to 251.36, 346.74 and 161.48 is: 222.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.36 : 346.74 = 161.48 : x
  2. Step 2: Convert to fraction form
    251.36/346.74 = 161.48/x
  3. Step 3: Cross multiply
    251.36x = 346.74 × 161.48
  4. Step 4: Simplify right side
    251.36x = 55,991.58
  5. Step 5: Solve for x
    x = 55,991.58/251.36
  6. Step 6: Final answer
    x = 222.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.