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Finding the Fourth Proportional to 182.10, 251.66 and 161.85

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Solution

The fourth proportional to 182.10, 251.66 and 161.85 is: 223.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.10 : 251.66 = 161.85 : x
  2. Step 2: Convert to fraction form
    182.10/251.66 = 161.85/x
  3. Step 3: Cross multiply
    182.10x = 251.66 × 161.85
  4. Step 4: Simplify right side
    182.10x = 40,731.91
  5. Step 5: Solve for x
    x = 40,731.91/182.10
  6. Step 6: Final answer
    x = 223.67

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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.