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Finding the Fourth Proportional to 182.39, 252.72 and 180.15

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Solution

The fourth proportional to 182.39, 252.72 and 180.15 is: 249.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.39 : 252.72 = 180.15 : x
  2. Step 2: Convert to fraction form
    182.39/252.72 = 180.15/x
  3. Step 3: Cross multiply
    182.39x = 252.72 × 180.15
  4. Step 4: Simplify right side
    182.39x = 45,527.51
  5. Step 5: Solve for x
    x = 45,527.51/182.39
  6. Step 6: Final answer
    x = 249.62

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.