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Finding the Fourth Proportional to 195.82, 270.02 and 130.34

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Solution

The fourth proportional to 195.82, 270.02 and 130.34 is: 179.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.82 : 270.02 = 130.34 : x
  2. Step 2: Convert to fraction form
    195.82/270.02 = 130.34/x
  3. Step 3: Cross multiply
    195.82x = 270.02 × 130.34
  4. Step 4: Simplify right side
    195.82x = 35,195.41
  5. Step 5: Solve for x
    x = 35,195.41/195.82
  6. Step 6: Final answer
    x = 179.74

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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.