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Finding the Fourth Proportional to 140.18, 193.94 and 119.39

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Solution

The fourth proportional to 140.18, 193.94 and 119.39 is: 165.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.18 : 193.94 = 119.39 : x
  2. Step 2: Convert to fraction form
    140.18/193.94 = 119.39/x
  3. Step 3: Cross multiply
    140.18x = 193.94 × 119.39
  4. Step 4: Simplify right side
    140.18x = 23,152.93
  5. Step 5: Solve for x
    x = 23,152.93/140.18
  6. Step 6: Final answer
    x = 165.17

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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.