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Finding the Fourth Proportional to 183.77, 274.40 and 161.65

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Solution

The fourth proportional to 183.77, 274.40 and 161.65 is: 241.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.77 : 274.40 = 161.65 : x
  2. Step 2: Convert to fraction form
    183.77/274.40 = 161.65/x
  3. Step 3: Cross multiply
    183.77x = 274.40 × 161.65
  4. Step 4: Simplify right side
    183.77x = 44,356.76
  5. Step 5: Solve for x
    x = 44,356.76/183.77
  6. Step 6: Final answer
    x = 241.37

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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.