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Finding the Fourth Proportional to 195.83, 293.61 and 130.85

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Solution

The fourth proportional to 195.83, 293.61 and 130.85 is: 196.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.83 : 293.61 = 130.85 : x
  2. Step 2: Convert to fraction form
    195.83/293.61 = 130.85/x
  3. Step 3: Cross multiply
    195.83x = 293.61 × 130.85
  4. Step 4: Simplify right side
    195.83x = 38,418.87
  5. Step 5: Solve for x
    x = 38,418.87/195.83
  6. Step 6: Final answer
    x = 196.18

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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.