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Finding the Fourth Proportional to 249.77, 345.11 and 216.96

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Solution

The fourth proportional to 249.77, 345.11 and 216.96 is: 299.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.77 : 345.11 = 216.96 : x
  2. Step 2: Convert to fraction form
    249.77/345.11 = 216.96/x
  3. Step 3: Cross multiply
    249.77x = 345.11 × 216.96
  4. Step 4: Simplify right side
    249.77x = 74,873.98
  5. Step 5: Solve for x
    x = 74,873.98/249.77
  6. Step 6: Final answer
    x = 299.78

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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.