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Finding the Fourth Proportional to 252.08, 347.84 and 199.75

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Solution

The fourth proportional to 252.08, 347.84 and 199.75 is: 275.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.08 : 347.84 = 199.75 : x
  2. Step 2: Convert to fraction form
    252.08/347.84 = 199.75/x
  3. Step 3: Cross multiply
    252.08x = 347.84 × 199.75
  4. Step 4: Simplify right side
    252.08x = 69,481.70
  5. Step 5: Solve for x
    x = 69,481.70/252.08
  6. Step 6: Final answer
    x = 275.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.