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Finding the Fourth Proportional to 191.19, 262.23 and 180.73

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Solution

The fourth proportional to 191.19, 262.23 and 180.73 is: 247.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.19 : 262.23 = 180.73 : x
  2. Step 2: Convert to fraction form
    191.19/262.23 = 180.73/x
  3. Step 3: Cross multiply
    191.19x = 262.23 × 180.73
  4. Step 4: Simplify right side
    191.19x = 47,392.83
  5. Step 5: Solve for x
    x = 47,392.83/191.19
  6. Step 6: Final answer
    x = 247.88

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.