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Finding the Fourth Proportional to 192.65, 265.89 and 122.80

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Solution

The fourth proportional to 192.65, 265.89 and 122.80 is: 169.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.65 : 265.89 = 122.80 : x
  2. Step 2: Convert to fraction form
    192.65/265.89 = 122.80/x
  3. Step 3: Cross multiply
    192.65x = 265.89 × 122.80
  4. Step 4: Simplify right side
    192.65x = 32,651.29
  5. Step 5: Solve for x
    x = 32,651.29/192.65
  6. Step 6: Final answer
    x = 169.49

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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.