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Finding the Fourth Proportional to 192.21, 263.36 and 189.65

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Solution

The fourth proportional to 192.21, 263.36 and 189.65 is: 259.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.21 : 263.36 = 189.65 : x
  2. Step 2: Convert to fraction form
    192.21/263.36 = 189.65/x
  3. Step 3: Cross multiply
    192.21x = 263.36 × 189.65
  4. Step 4: Simplify right side
    192.21x = 49,943.96
  5. Step 5: Solve for x
    x = 49,943.96/192.21
  6. Step 6: Final answer
    x = 259.84

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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.