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Finding the Fourth Proportional to 190.05, 262.46 and 143.35

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Solution

The fourth proportional to 190.05, 262.46 and 143.35 is: 197.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.05 : 262.46 = 143.35 : x
  2. Step 2: Convert to fraction form
    190.05/262.46 = 143.35/x
  3. Step 3: Cross multiply
    190.05x = 262.46 × 143.35
  4. Step 4: Simplify right side
    190.05x = 37,623.64
  5. Step 5: Solve for x
    x = 37,623.64/190.05
  6. Step 6: Final answer
    x = 197.97

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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.