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Finding the Fourth Proportional to 199.33, 298.62 and 130.68

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Solution

The fourth proportional to 199.33, 298.62 and 130.68 is: 195.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.33 : 298.62 = 130.68 : x
  2. Step 2: Convert to fraction form
    199.33/298.62 = 130.68/x
  3. Step 3: Cross multiply
    199.33x = 298.62 × 130.68
  4. Step 4: Simplify right side
    199.33x = 39,023.66
  5. Step 5: Solve for x
    x = 39,023.66/199.33
  6. Step 6: Final answer
    x = 195.78

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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.