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Finding the Fourth Proportional to 190.00, 262.21 and 107.11

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Solution

The fourth proportional to 190.00, 262.21 and 107.11 is: 147.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.00 : 262.21 = 107.11 : x
  2. Step 2: Convert to fraction form
    190.00/262.21 = 107.11/x
  3. Step 3: Cross multiply
    190.00x = 262.21 × 107.11
  4. Step 4: Simplify right side
    190.00x = 28,085.05
  5. Step 5: Solve for x
    x = 28,085.05/190.00
  6. Step 6: Final answer
    x = 147.81

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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.