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Finding the Fourth Proportional to 138.80, 190.60 and 116.93

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Solution

The fourth proportional to 138.80, 190.60 and 116.93 is: 160.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.80 : 190.60 = 116.93 : x
  2. Step 2: Convert to fraction form
    138.80/190.60 = 116.93/x
  3. Step 3: Cross multiply
    138.80x = 190.60 × 116.93
  4. Step 4: Simplify right side
    138.80x = 22,286.86
  5. Step 5: Solve for x
    x = 22,286.86/138.80
  6. Step 6: Final answer
    x = 160.57

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.