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Finding the Fourth Proportional to 190.75, 262.96 and 135.62

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Solution

The fourth proportional to 190.75, 262.96 and 135.62 is: 186.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.75 : 262.96 = 135.62 : x
  2. Step 2: Convert to fraction form
    190.75/262.96 = 135.62/x
  3. Step 3: Cross multiply
    190.75x = 262.96 × 135.62
  4. Step 4: Simplify right side
    190.75x = 35,662.64
  5. Step 5: Solve for x
    x = 35,662.64/190.75
  6. Step 6: Final answer
    x = 186.96

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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.