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Finding the Fourth Proportional to 208.22, 313.91 and 194.84

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Solution

The fourth proportional to 208.22, 313.91 and 194.84 is: 293.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.22 : 313.91 = 194.84 : x
  2. Step 2: Convert to fraction form
    208.22/313.91 = 194.84/x
  3. Step 3: Cross multiply
    208.22x = 313.91 × 194.84
  4. Step 4: Simplify right side
    208.22x = 61,162.22
  5. Step 5: Solve for x
    x = 61,162.22/208.22
  6. Step 6: Final answer
    x = 293.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.