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Finding the Fourth Proportional to 182.57, 251.86 and 138.43

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Solution

The fourth proportional to 182.57, 251.86 and 138.43 is: 190.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.57 : 251.86 = 138.43 : x
  2. Step 2: Convert to fraction form
    182.57/251.86 = 138.43/x
  3. Step 3: Cross multiply
    182.57x = 251.86 × 138.43
  4. Step 4: Simplify right side
    182.57x = 34,864.98
  5. Step 5: Solve for x
    x = 34,864.98/182.57
  6. Step 6: Final answer
    x = 190.97

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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.