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Finding the Fourth Proportional to 182.23, 251.17 and 138.49

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Solution

The fourth proportional to 182.23, 251.17 and 138.49 is: 190.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.23 : 251.17 = 138.49 : x
  2. Step 2: Convert to fraction form
    182.23/251.17 = 138.49/x
  3. Step 3: Cross multiply
    182.23x = 251.17 × 138.49
  4. Step 4: Simplify right side
    182.23x = 34,784.53
  5. Step 5: Solve for x
    x = 34,784.53/182.23
  6. Step 6: Final answer
    x = 190.88

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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.