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Finding the Fourth Proportional to 189.56, 262.96 and 179.84

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Solution

The fourth proportional to 189.56, 262.96 and 179.84 is: 249.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.56 : 262.96 = 179.84 : x
  2. Step 2: Convert to fraction form
    189.56/262.96 = 179.84/x
  3. Step 3: Cross multiply
    189.56x = 262.96 × 179.84
  4. Step 4: Simplify right side
    189.56x = 47,290.73
  5. Step 5: Solve for x
    x = 47,290.73/189.56
  6. Step 6: Final answer
    x = 249.48

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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.