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Finding the Fourth Proportional to 199.41, 275.19 and 120.78

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Solution

The fourth proportional to 199.41, 275.19 and 120.78 is: 166.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.41 : 275.19 = 120.78 : x
  2. Step 2: Convert to fraction form
    199.41/275.19 = 120.78/x
  3. Step 3: Cross multiply
    199.41x = 275.19 × 120.78
  4. Step 4: Simplify right side
    199.41x = 33,237.45
  5. Step 5: Solve for x
    x = 33,237.45/199.41
  6. Step 6: Final answer
    x = 166.68

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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.