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Finding the Fourth Proportional to 190.20, 262.06 and 134.82

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Solution

The fourth proportional to 190.20, 262.06 and 134.82 is: 185.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.20 : 262.06 = 134.82 : x
  2. Step 2: Convert to fraction form
    190.20/262.06 = 134.82/x
  3. Step 3: Cross multiply
    190.20x = 262.06 × 134.82
  4. Step 4: Simplify right side
    190.20x = 35,330.93
  5. Step 5: Solve for x
    x = 35,330.93/190.20
  6. Step 6: Final answer
    x = 185.76

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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.