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Finding the Fourth Proportional to 190.60, 263 and 116.87

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Solution

The fourth proportional to 190.60, 263 and 116.87 is: 161.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.60 : 263 = 116.87 : x
  2. Step 2: Convert to fraction form
    190.60/263 = 116.87/x
  3. Step 3: Cross multiply
    190.60x = 263 × 116.87
  4. Step 4: Simplify right side
    190.60x = 30,736.81
  5. Step 5: Solve for x
    x = 30,736.81/190.60
  6. Step 6: Final answer
    x = 161.26

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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.