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Finding the Fourth Proportional to 191.60, 263.86 and 163.96

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Solution

The fourth proportional to 191.60, 263.86 and 163.96 is: 225.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.60 : 263.86 = 163.96 : x
  2. Step 2: Convert to fraction form
    191.60/263.86 = 163.96/x
  3. Step 3: Cross multiply
    191.60x = 263.86 × 163.96
  4. Step 4: Simplify right side
    191.60x = 43,261.42
  5. Step 5: Solve for x
    x = 43,261.42/191.60
  6. Step 6: Final answer
    x = 225.79

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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.