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Finding the Fourth Proportional to 191.91, 288.21 and 182.19

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Solution

The fourth proportional to 191.91, 288.21 and 182.19 is: 273.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.91 : 288.21 = 182.19 : x
  2. Step 2: Convert to fraction form
    191.91/288.21 = 182.19/x
  3. Step 3: Cross multiply
    191.91x = 288.21 × 182.19
  4. Step 4: Simplify right side
    191.91x = 52,508.98
  5. Step 5: Solve for x
    x = 52,508.98/191.91
  6. Step 6: Final answer
    x = 273.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.