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Finding the Fourth Proportional to 192.86, 265.76 and 163.70

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Solution

The fourth proportional to 192.86, 265.76 and 163.70 is: 225.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.86 : 265.76 = 163.70 : x
  2. Step 2: Convert to fraction form
    192.86/265.76 = 163.70/x
  3. Step 3: Cross multiply
    192.86x = 265.76 × 163.70
  4. Step 4: Simplify right side
    192.86x = 43,504.91
  5. Step 5: Solve for x
    x = 43,504.91/192.86
  6. Step 6: Final answer
    x = 225.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.