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Finding the Fourth Proportional to 183, 252.12 and 161.16

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Solution

The fourth proportional to 183, 252.12 and 161.16 is: 222.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    183 : 252.12 = 161.16 : x
  2. Step 2: Convert to fraction form
    183/252.12 = 161.16/x
  3. Step 3: Cross multiply
    183x = 252.12 × 161.16
  4. Step 4: Simplify right side
    183x = 40,631.66
  5. Step 5: Solve for x
    x = 40,631.66/183
  6. Step 6: Final answer
    x = 222.03

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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.