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Finding the Fourth Proportional to 183.51, 251.81 and 167.10

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Solution

The fourth proportional to 183.51, 251.81 and 167.10 is: 229.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.51 : 251.81 = 167.10 : x
  2. Step 2: Convert to fraction form
    183.51/251.81 = 167.10/x
  3. Step 3: Cross multiply
    183.51x = 251.81 × 167.10
  4. Step 4: Simplify right side
    183.51x = 42,076.62
  5. Step 5: Solve for x
    x = 42,076.62/183.51
  6. Step 6: Final answer
    x = 229.29

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.