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Finding the Fourth Proportional to 189.22, 284.08 and 108.12

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Solution

The fourth proportional to 189.22, 284.08 and 108.12 is: 162.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.22 : 284.08 = 108.12 : x
  2. Step 2: Convert to fraction form
    189.22/284.08 = 108.12/x
  3. Step 3: Cross multiply
    189.22x = 284.08 × 108.12
  4. Step 4: Simplify right side
    189.22x = 30,714.73
  5. Step 5: Solve for x
    x = 30,714.73/189.22
  6. Step 6: Final answer
    x = 162.32

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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.