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Finding the Fourth Proportional to 193.92, 292.03 and 140.19

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Solution

The fourth proportional to 193.92, 292.03 and 140.19 is: 211.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.92 : 292.03 = 140.19 : x
  2. Step 2: Convert to fraction form
    193.92/292.03 = 140.19/x
  3. Step 3: Cross multiply
    193.92x = 292.03 × 140.19
  4. Step 4: Simplify right side
    193.92x = 40,939.34
  5. Step 5: Solve for x
    x = 40,939.34/193.92
  6. Step 6: Final answer
    x = 211.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.