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Finding the Fourth Proportional to 279.35, 385.65 and 195.45

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Solution

The fourth proportional to 279.35, 385.65 and 195.45 is: 269.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.35 : 385.65 = 195.45 : x
  2. Step 2: Convert to fraction form
    279.35/385.65 = 195.45/x
  3. Step 3: Cross multiply
    279.35x = 385.65 × 195.45
  4. Step 4: Simplify right side
    279.35x = 75,375.29
  5. Step 5: Solve for x
    x = 75,375.29/279.35
  6. Step 6: Final answer
    x = 269.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.