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Finding the Fourth Proportional to 225.41, 310.94 and 208.23

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Solution

The fourth proportional to 225.41, 310.94 and 208.23 is: 287.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.41 : 310.94 = 208.23 : x
  2. Step 2: Convert to fraction form
    225.41/310.94 = 208.23/x
  3. Step 3: Cross multiply
    225.41x = 310.94 × 208.23
  4. Step 4: Simplify right side
    225.41x = 64,747.04
  5. Step 5: Solve for x
    x = 64,747.04/225.41
  6. Step 6: Final answer
    x = 287.24

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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.