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Finding the Fourth Proportional to 306.75, 422.65 and 208.33

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Solution

The fourth proportional to 306.75, 422.65 and 208.33 is: 287.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.75 : 422.65 = 208.33 : x
  2. Step 2: Convert to fraction form
    306.75/422.65 = 208.33/x
  3. Step 3: Cross multiply
    306.75x = 422.65 × 208.33
  4. Step 4: Simplify right side
    306.75x = 88,050.67
  5. Step 5: Solve for x
    x = 88,050.67/306.75
  6. Step 6: Final answer
    x = 287.04

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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.