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Finding the Fourth Proportional to 199.35, 274.82 and 141.03

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Solution

The fourth proportional to 199.35, 274.82 and 141.03 is: 194.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.35 : 274.82 = 141.03 : x
  2. Step 2: Convert to fraction form
    199.35/274.82 = 141.03/x
  3. Step 3: Cross multiply
    199.35x = 274.82 × 141.03
  4. Step 4: Simplify right side
    199.35x = 38,757.16
  5. Step 5: Solve for x
    x = 38,757.16/199.35
  6. Step 6: Final answer
    x = 194.42

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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.