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Finding the Fourth Proportional to 189.21, 282.61 and 161.88

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Solution

The fourth proportional to 189.21, 282.61 and 161.88 is: 241.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.21 : 282.61 = 161.88 : x
  2. Step 2: Convert to fraction form
    189.21/282.61 = 161.88/x
  3. Step 3: Cross multiply
    189.21x = 282.61 × 161.88
  4. Step 4: Simplify right side
    189.21x = 45,748.91
  5. Step 5: Solve for x
    x = 45,748.91/189.21
  6. Step 6: Final answer
    x = 241.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.