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Finding the Fourth Proportional to 195.31, 293.02 and 71.92

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Solution

The fourth proportional to 195.31, 293.02 and 71.92 is: 107.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.31 : 293.02 = 71.92 : x
  2. Step 2: Convert to fraction form
    195.31/293.02 = 71.92/x
  3. Step 3: Cross multiply
    195.31x = 293.02 × 71.92
  4. Step 4: Simplify right side
    195.31x = 21,074.18
  5. Step 5: Solve for x
    x = 21,074.18/195.31
  6. Step 6: Final answer
    x = 107.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.