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Finding the Fourth Proportional to 192.78, 266.21 and 140.62

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Solution

The fourth proportional to 192.78, 266.21 and 140.62 is: 194.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.78 : 266.21 = 140.62 : x
  2. Step 2: Convert to fraction form
    192.78/266.21 = 140.62/x
  3. Step 3: Cross multiply
    192.78x = 266.21 × 140.62
  4. Step 4: Simplify right side
    192.78x = 37,434.45
  5. Step 5: Solve for x
    x = 37,434.45/192.78
  6. Step 6: Final answer
    x = 194.18

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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.