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Finding the Fourth Proportional to 189.66, 284.42 and 163.61

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Solution

The fourth proportional to 189.66, 284.42 and 163.61 is: 245.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.66 : 284.42 = 163.61 : x
  2. Step 2: Convert to fraction form
    189.66/284.42 = 163.61/x
  3. Step 3: Cross multiply
    189.66x = 284.42 × 163.61
  4. Step 4: Simplify right side
    189.66x = 46,531.72
  5. Step 5: Solve for x
    x = 46,531.72/189.66
  6. Step 6: Final answer
    x = 245.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.