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Finding the Fourth Proportional to 182.73, 275.16 and 131.72

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Solution

The fourth proportional to 182.73, 275.16 and 131.72 is: 198.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.73 : 275.16 = 131.72 : x
  2. Step 2: Convert to fraction form
    182.73/275.16 = 131.72/x
  3. Step 3: Cross multiply
    182.73x = 275.16 × 131.72
  4. Step 4: Simplify right side
    182.73x = 36,245.09
  5. Step 5: Solve for x
    x = 36,245.09/182.73
  6. Step 6: Final answer
    x = 198.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.