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Finding the Fourth Proportional to 195.94, 270.18 and 143.80

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Solution

The fourth proportional to 195.94, 270.18 and 143.80 is: 198.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.94 : 270.18 = 143.80 : x
  2. Step 2: Convert to fraction form
    195.94/270.18 = 143.80/x
  3. Step 3: Cross multiply
    195.94x = 270.18 × 143.80
  4. Step 4: Simplify right side
    195.94x = 38,851.88
  5. Step 5: Solve for x
    x = 38,851.88/195.94
  6. Step 6: Final answer
    x = 198.28

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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.