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Finding the Fourth Proportional to 275.27, 379.49 and 216.95

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Solution

The fourth proportional to 275.27, 379.49 and 216.95 is: 299.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.27 : 379.49 = 216.95 : x
  2. Step 2: Convert to fraction form
    275.27/379.49 = 216.95/x
  3. Step 3: Cross multiply
    275.27x = 379.49 × 216.95
  4. Step 4: Simplify right side
    275.27x = 82,327.37
  5. Step 5: Solve for x
    x = 82,327.37/275.27
  6. Step 6: Final answer
    x = 299.08

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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.