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Finding the Fourth Proportional to 224.58, 335.23 and 208.09

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Solution

The fourth proportional to 224.58, 335.23 and 208.09 is: 310.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.58 : 335.23 = 208.09 : x
  2. Step 2: Convert to fraction form
    224.58/335.23 = 208.09/x
  3. Step 3: Cross multiply
    224.58x = 335.23 × 208.09
  4. Step 4: Simplify right side
    224.58x = 69,756.65
  5. Step 5: Solve for x
    x = 69,756.65/224.58
  6. Step 6: Final answer
    x = 310.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.