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Finding the Fourth Proportional to 190.36, 260.81 and 187.96

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Solution

The fourth proportional to 190.36, 260.81 and 187.96 is: 257.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.36 : 260.81 = 187.96 : x
  2. Step 2: Convert to fraction form
    190.36/260.81 = 187.96/x
  3. Step 3: Cross multiply
    190.36x = 260.81 × 187.96
  4. Step 4: Simplify right side
    190.36x = 49,021.85
  5. Step 5: Solve for x
    x = 49,021.85/190.36
  6. Step 6: Final answer
    x = 257.52

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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.