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Finding the Fourth Proportional to 305.86, 422.18 and 195.30

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Solution

The fourth proportional to 305.86, 422.18 and 195.30 is: 269.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.86 : 422.18 = 195.30 : x
  2. Step 2: Convert to fraction form
    305.86/422.18 = 195.30/x
  3. Step 3: Cross multiply
    305.86x = 422.18 × 195.30
  4. Step 4: Simplify right side
    305.86x = 82,451.75
  5. Step 5: Solve for x
    x = 82,451.75/305.86
  6. Step 6: Final answer
    x = 269.57

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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.