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Finding the Fourth Proportional to 182.11, 250.49 and 154.43

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Solution

The fourth proportional to 182.11, 250.49 and 154.43 is: 212.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.11 : 250.49 = 154.43 : x
  2. Step 2: Convert to fraction form
    182.11/250.49 = 154.43/x
  3. Step 3: Cross multiply
    182.11x = 250.49 × 154.43
  4. Step 4: Simplify right side
    182.11x = 38,683.17
  5. Step 5: Solve for x
    x = 38,683.17/182.11
  6. Step 6: Final answer
    x = 212.42

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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.