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Finding the Fourth Proportional to 189.96, 262.27 and 143.43

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Solution

The fourth proportional to 189.96, 262.27 and 143.43 is: 198.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.96 : 262.27 = 143.43 : x
  2. Step 2: Convert to fraction form
    189.96/262.27 = 143.43/x
  3. Step 3: Cross multiply
    189.96x = 262.27 × 143.43
  4. Step 4: Simplify right side
    189.96x = 37,617.57
  5. Step 5: Solve for x
    x = 37,617.57/189.96
  6. Step 6: Final answer
    x = 198.03

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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.