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Finding the Fourth Proportional to 183.68, 274.16 and 168.48

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Solution

The fourth proportional to 183.68, 274.16 and 168.48 is: 251.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.68 : 274.16 = 168.48 : x
  2. Step 2: Convert to fraction form
    183.68/274.16 = 168.48/x
  3. Step 3: Cross multiply
    183.68x = 274.16 × 168.48
  4. Step 4: Simplify right side
    183.68x = 46,190.48
  5. Step 5: Solve for x
    x = 46,190.48/183.68
  6. Step 6: Final answer
    x = 251.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.