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Finding the Fourth Proportional to 192.11, 263.66 and 189.14

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Solution

The fourth proportional to 192.11, 263.66 and 189.14 is: 259.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.11 : 263.66 = 189.14 : x
  2. Step 2: Convert to fraction form
    192.11/263.66 = 189.14/x
  3. Step 3: Cross multiply
    192.11x = 263.66 × 189.14
  4. Step 4: Simplify right side
    192.11x = 49,866.39
  5. Step 5: Solve for x
    x = 49,866.39/192.11
  6. Step 6: Final answer
    x = 259.58

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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.