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Finding the Fourth Proportional to 216.41, 300.19 and 208.85

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Solution

The fourth proportional to 216.41, 300.19 and 208.85 is: 289.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.41 : 300.19 = 208.85 : x
  2. Step 2: Convert to fraction form
    216.41/300.19 = 208.85/x
  3. Step 3: Cross multiply
    216.41x = 300.19 × 208.85
  4. Step 4: Simplify right side
    216.41x = 62,694.68
  5. Step 5: Solve for x
    x = 62,694.68/216.41
  6. Step 6: Final answer
    x = 289.70

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.