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Finding the Fourth Proportional to 195.06, 291.98 and 107.09

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Solution

The fourth proportional to 195.06, 291.98 and 107.09 is: 160.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.06 : 291.98 = 107.09 : x
  2. Step 2: Convert to fraction form
    195.06/291.98 = 107.09/x
  3. Step 3: Cross multiply
    195.06x = 291.98 × 107.09
  4. Step 4: Simplify right side
    195.06x = 31,268.56
  5. Step 5: Solve for x
    x = 31,268.56/195.06
  6. Step 6: Final answer
    x = 160.30

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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.