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Finding the Fourth Proportional to 184.50, 254.34 and 161.28

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Solution

The fourth proportional to 184.50, 254.34 and 161.28 is: 222.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.50 : 254.34 = 161.28 : x
  2. Step 2: Convert to fraction form
    184.50/254.34 = 161.28/x
  3. Step 3: Cross multiply
    184.50x = 254.34 × 161.28
  4. Step 4: Simplify right side
    184.50x = 41,019.96
  5. Step 5: Solve for x
    x = 41,019.96/184.50
  6. Step 6: Final answer
    x = 222.33

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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.