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Finding the Fourth Proportional to 191.67, 263.49 and 164.99

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Solution

The fourth proportional to 191.67, 263.49 and 164.99 is: 226.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.67 : 263.49 = 164.99 : x
  2. Step 2: Convert to fraction form
    191.67/263.49 = 164.99/x
  3. Step 3: Cross multiply
    191.67x = 263.49 × 164.99
  4. Step 4: Simplify right side
    191.67x = 43,473.22
  5. Step 5: Solve for x
    x = 43,473.22/191.67
  6. Step 6: Final answer
    x = 226.81

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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.