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Finding the Fourth Proportional to 182.05, 250.70 and 161.19

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Solution

The fourth proportional to 182.05, 250.70 and 161.19 is: 221.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.05 : 250.70 = 161.19 : x
  2. Step 2: Convert to fraction form
    182.05/250.70 = 161.19/x
  3. Step 3: Cross multiply
    182.05x = 250.70 × 161.19
  4. Step 4: Simplify right side
    182.05x = 40,409.53
  5. Step 5: Solve for x
    x = 40,409.53/182.05
  6. Step 6: Final answer
    x = 221.97

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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.