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Finding the Fourth Proportional to 190.56, 262.85 and 120.50

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Solution

The fourth proportional to 190.56, 262.85 and 120.50 is: 166.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.56 : 262.85 = 120.50 : x
  2. Step 2: Convert to fraction form
    190.56/262.85 = 120.50/x
  3. Step 3: Cross multiply
    190.56x = 262.85 × 120.50
  4. Step 4: Simplify right side
    190.56x = 31,672.41
  5. Step 5: Solve for x
    x = 31,672.41/190.56
  6. Step 6: Final answer
    x = 166.21

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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.