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Finding the Fourth Proportional to 199.12, 274.86 and 140.96

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Solution

The fourth proportional to 199.12, 274.86 and 140.96 is: 194.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.12 : 274.86 = 140.96 : x
  2. Step 2: Convert to fraction form
    199.12/274.86 = 140.96/x
  3. Step 3: Cross multiply
    199.12x = 274.86 × 140.96
  4. Step 4: Simplify right side
    199.12x = 38,744.27
  5. Step 5: Solve for x
    x = 38,744.27/199.12
  6. Step 6: Final answer
    x = 194.58

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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.