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Finding the Fourth Proportional to 185.22, 276.39 and 164.76

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Solution

The fourth proportional to 185.22, 276.39 and 164.76 is: 245.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.22 : 276.39 = 164.76 : x
  2. Step 2: Convert to fraction form
    185.22/276.39 = 164.76/x
  3. Step 3: Cross multiply
    185.22x = 276.39 × 164.76
  4. Step 4: Simplify right side
    185.22x = 45,538.02
  5. Step 5: Solve for x
    x = 45,538.02/185.22
  6. Step 6: Final answer
    x = 245.86

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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.