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Finding the Fourth Proportional to 183.94, 254.11 and 121.07

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Solution

The fourth proportional to 183.94, 254.11 and 121.07 is: 167.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.94 : 254.11 = 121.07 : x
  2. Step 2: Convert to fraction form
    183.94/254.11 = 121.07/x
  3. Step 3: Cross multiply
    183.94x = 254.11 × 121.07
  4. Step 4: Simplify right side
    183.94x = 30,765.10
  5. Step 5: Solve for x
    x = 30,765.10/183.94
  6. Step 6: Final answer
    x = 167.26

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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.