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Finding the Fourth Proportional to 182.09, 271.70 and 164.68

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Solution

The fourth proportional to 182.09, 271.70 and 164.68 is: 245.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.09 : 271.70 = 164.68 : x
  2. Step 2: Convert to fraction form
    182.09/271.70 = 164.68/x
  3. Step 3: Cross multiply
    182.09x = 271.70 × 164.68
  4. Step 4: Simplify right side
    182.09x = 44,743.56
  5. Step 5: Solve for x
    x = 44,743.56/182.09
  6. Step 6: Final answer
    x = 245.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.