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Finding the Fourth Proportional to 231.31, 346.76 and 109.61

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Solution

The fourth proportional to 231.31, 346.76 and 109.61 is: 164.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.31 : 346.76 = 109.61 : x
  2. Step 2: Convert to fraction form
    231.31/346.76 = 109.61/x
  3. Step 3: Cross multiply
    231.31x = 346.76 × 109.61
  4. Step 4: Simplify right side
    231.31x = 38,008.36
  5. Step 5: Solve for x
    x = 38,008.36/231.31
  6. Step 6: Final answer
    x = 164.32

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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.