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Finding the Fourth Proportional to 195.85, 270.16 and 126.00

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Solution

The fourth proportional to 195.85, 270.16 and 126.00 is: 173.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.85 : 270.16 = 126.00 : x
  2. Step 2: Convert to fraction form
    195.85/270.16 = 126.00/x
  3. Step 3: Cross multiply
    195.85x = 270.16 × 126.00
  4. Step 4: Simplify right side
    195.85x = 34,040.21
  5. Step 5: Solve for x
    x = 34,040.21/195.85
  6. Step 6: Final answer
    x = 173.81

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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.