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Finding the Fourth Proportional to 182.70, 252 and 139.14

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Solution

The fourth proportional to 182.70, 252 and 139.14 is: 191.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.70 : 252 = 139.14 : x
  2. Step 2: Convert to fraction form
    182.70/252 = 139.14/x
  3. Step 3: Cross multiply
    182.70x = 252 × 139.14
  4. Step 4: Simplify right side
    182.70x = 35,063.28
  5. Step 5: Solve for x
    x = 35,063.28/182.70
  6. Step 6: Final answer
    x = 191.92

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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.