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Finding the Fourth Proportional to 304.05, 418.97 and 216.57

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Solution

The fourth proportional to 304.05, 418.97 and 216.57 is: 298.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.05 : 418.97 = 216.57 : x
  2. Step 2: Convert to fraction form
    304.05/418.97 = 216.57/x
  3. Step 3: Cross multiply
    304.05x = 418.97 × 216.57
  4. Step 4: Simplify right side
    304.05x = 90,738.45
  5. Step 5: Solve for x
    x = 90,738.45/304.05
  6. Step 6: Final answer
    x = 298.43

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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.