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Finding the Fourth Proportional to 199.15, 274.75 and 120.42

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Solution

The fourth proportional to 199.15, 274.75 and 120.42 is: 166.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.15 : 274.75 = 120.42 : x
  2. Step 2: Convert to fraction form
    199.15/274.75 = 120.42/x
  3. Step 3: Cross multiply
    199.15x = 274.75 × 120.42
  4. Step 4: Simplify right side
    199.15x = 33,085.09
  5. Step 5: Solve for x
    x = 33,085.09/199.15
  6. Step 6: Final answer
    x = 166.13

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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.