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Finding the Fourth Proportional to 230.97, 346.56 and 109.32

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Solution

The fourth proportional to 230.97, 346.56 and 109.32 is: 164.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.97 : 346.56 = 109.32 : x
  2. Step 2: Convert to fraction form
    230.97/346.56 = 109.32/x
  3. Step 3: Cross multiply
    230.97x = 346.56 × 109.32
  4. Step 4: Simplify right side
    230.97x = 37,885.94
  5. Step 5: Solve for x
    x = 37,885.94/230.97
  6. Step 6: Final answer
    x = 164.03

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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.