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Finding the Fourth Proportional to 195.91, 270.36 and 130.53

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Solution

The fourth proportional to 195.91, 270.36 and 130.53 is: 180.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.91 : 270.36 = 130.53 : x
  2. Step 2: Convert to fraction form
    195.91/270.36 = 130.53/x
  3. Step 3: Cross multiply
    195.91x = 270.36 × 130.53
  4. Step 4: Simplify right side
    195.91x = 35,290.09
  5. Step 5: Solve for x
    x = 35,290.09/195.91
  6. Step 6: Final answer
    x = 180.13

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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.