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Finding the Fourth Proportional to 192.73, 265.97 and 105.40

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Solution

The fourth proportional to 192.73, 265.97 and 105.40 is: 145.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.73 : 265.97 = 105.40 : x
  2. Step 2: Convert to fraction form
    192.73/265.97 = 105.40/x
  3. Step 3: Cross multiply
    192.73x = 265.97 × 105.40
  4. Step 4: Simplify right side
    192.73x = 28,033.24
  5. Step 5: Solve for x
    x = 28,033.24/192.73
  6. Step 6: Final answer
    x = 145.45

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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.