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Finding the Fourth Proportional to 189.34, 261.14 and 142.43

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Solution

The fourth proportional to 189.34, 261.14 and 142.43 is: 196.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.34 : 261.14 = 142.43 : x
  2. Step 2: Convert to fraction form
    189.34/261.14 = 142.43/x
  3. Step 3: Cross multiply
    189.34x = 261.14 × 142.43
  4. Step 4: Simplify right side
    189.34x = 37,192.15
  5. Step 5: Solve for x
    x = 37,192.15/189.34
  6. Step 6: Final answer
    x = 196.43

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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.