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Finding the Fourth Proportional to 189.36, 282.62 and 161.76

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Solution

The fourth proportional to 189.36, 282.62 and 161.76 is: 241.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.36 : 282.62 = 161.76 : x
  2. Step 2: Convert to fraction form
    189.36/282.62 = 161.76/x
  3. Step 3: Cross multiply
    189.36x = 282.62 × 161.76
  4. Step 4: Simplify right side
    189.36x = 45,716.61
  5. Step 5: Solve for x
    x = 45,716.61/189.36
  6. Step 6: Final answer
    x = 241.43

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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.