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Finding the Fourth Proportional to 305.69, 422.05 and 211.33

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Solution

The fourth proportional to 305.69, 422.05 and 211.33 is: 291.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.69 : 422.05 = 211.33 : x
  2. Step 2: Convert to fraction form
    305.69/422.05 = 211.33/x
  3. Step 3: Cross multiply
    305.69x = 422.05 × 211.33
  4. Step 4: Simplify right side
    305.69x = 89,190.24
  5. Step 5: Solve for x
    x = 89,190.24/305.69
  6. Step 6: Final answer
    x = 291.76

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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.