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Finding the Fourth Proportional to 192.36, 263.55 and 189.96

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Solution

The fourth proportional to 192.36, 263.55 and 189.96 is: 260.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.36 : 263.55 = 189.96 : x
  2. Step 2: Convert to fraction form
    192.36/263.55 = 189.96/x
  3. Step 3: Cross multiply
    192.36x = 263.55 × 189.96
  4. Step 4: Simplify right side
    192.36x = 50,063.96
  5. Step 5: Solve for x
    x = 50,063.96/192.36
  6. Step 6: Final answer
    x = 260.26

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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.