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Finding the Fourth Proportional to 199.20, 274.83 and 120.50

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Solution

The fourth proportional to 199.20, 274.83 and 120.50 is: 166.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.20 : 274.83 = 120.50 : x
  2. Step 2: Convert to fraction form
    199.20/274.83 = 120.50/x
  3. Step 3: Cross multiply
    199.20x = 274.83 × 120.50
  4. Step 4: Simplify right side
    199.20x = 33,116.22
  5. Step 5: Solve for x
    x = 33,116.22/199.20
  6. Step 6: Final answer
    x = 166.24

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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.