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Finding the Fourth Proportional to 183.48, 251.85 and 162.29

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Solution

The fourth proportional to 183.48, 251.85 and 162.29 is: 222.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.48 : 251.85 = 162.29 : x
  2. Step 2: Convert to fraction form
    183.48/251.85 = 162.29/x
  3. Step 3: Cross multiply
    183.48x = 251.85 × 162.29
  4. Step 4: Simplify right side
    183.48x = 40,872.74
  5. Step 5: Solve for x
    x = 40,872.74/183.48
  6. Step 6: Final answer
    x = 222.76

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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.