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Finding the Fourth Proportional to 182.34, 250.94 and 161.54

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Solution

The fourth proportional to 182.34, 250.94 and 161.54 is: 222.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.34 : 250.94 = 161.54 : x
  2. Step 2: Convert to fraction form
    182.34/250.94 = 161.54/x
  3. Step 3: Cross multiply
    182.34x = 250.94 × 161.54
  4. Step 4: Simplify right side
    182.34x = 40,536.85
  5. Step 5: Solve for x
    x = 40,536.85/182.34
  6. Step 6: Final answer
    x = 222.31

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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.