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Finding the Fourth Proportional to 189.54, 282.96 and 162

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Solution

The fourth proportional to 189.54, 282.96 and 162 is: 241.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.54 : 282.96 = 162 : x
  2. Step 2: Convert to fraction form
    189.54/282.96 = 162/x
  3. Step 3: Cross multiply
    189.54x = 282.96 × 162
  4. Step 4: Simplify right side
    189.54x = 45,839.52
  5. Step 5: Solve for x
    x = 45,839.52/189.54
  6. Step 6: Final answer
    x = 241.85

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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.