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Finding the Fourth Proportional to 306.55, 422.85 and 195.98

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Solution

The fourth proportional to 306.55, 422.85 and 195.98 is: 270.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.55 : 422.85 = 195.98 : x
  2. Step 2: Convert to fraction form
    306.55/422.85 = 195.98/x
  3. Step 3: Cross multiply
    306.55x = 422.85 × 195.98
  4. Step 4: Simplify right side
    306.55x = 82,871.14
  5. Step 5: Solve for x
    x = 82,871.14/306.55
  6. Step 6: Final answer
    x = 270.34

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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.