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Finding the Fourth Proportional to 230.96, 346.40 and 109.20

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Solution

The fourth proportional to 230.96, 346.40 and 109.20 is: 163.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.96 : 346.40 = 109.20 : x
  2. Step 2: Convert to fraction form
    230.96/346.40 = 109.20/x
  3. Step 3: Cross multiply
    230.96x = 346.40 × 109.20
  4. Step 4: Simplify right side
    230.96x = 37,826.88
  5. Step 5: Solve for x
    x = 37,826.88/230.96
  6. Step 6: Final answer
    x = 163.78

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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.