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Finding the Fourth Proportional to 192.82, 266.09 and 105.49

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Solution

The fourth proportional to 192.82, 266.09 and 105.49 is: 145.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.82 : 266.09 = 105.49 : x
  2. Step 2: Convert to fraction form
    192.82/266.09 = 105.49/x
  3. Step 3: Cross multiply
    192.82x = 266.09 × 105.49
  4. Step 4: Simplify right side
    192.82x = 28,069.83
  5. Step 5: Solve for x
    x = 28,069.83/192.82
  6. Step 6: Final answer
    x = 145.58

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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.