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Finding the Fourth Proportional to 195, 268.96 and 120.31

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Solution

The fourth proportional to 195, 268.96 and 120.31 is: 165.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    195 : 268.96 = 120.31 : x
  2. Step 2: Convert to fraction form
    195/268.96 = 120.31/x
  3. Step 3: Cross multiply
    195x = 268.96 × 120.31
  4. Step 4: Simplify right side
    195x = 32,358.58
  5. Step 5: Solve for x
    x = 32,358.58/195
  6. Step 6: Final answer
    x = 165.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.