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Finding the Fourth Proportional to 231.22, 346.80 and 109.30

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Solution

The fourth proportional to 231.22, 346.80 and 109.30 is: 163.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.22 : 346.80 = 109.30 : x
  2. Step 2: Convert to fraction form
    231.22/346.80 = 109.30/x
  3. Step 3: Cross multiply
    231.22x = 346.80 × 109.30
  4. Step 4: Simplify right side
    231.22x = 37,905.24
  5. Step 5: Solve for x
    x = 37,905.24/231.22
  6. Step 6: Final answer
    x = 163.94

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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.