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Finding the Fourth Proportional to 184.98, 255.30 and 119.54

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Solution

The fourth proportional to 184.98, 255.30 and 119.54 is: 164.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.98 : 255.30 = 119.54 : x
  2. Step 2: Convert to fraction form
    184.98/255.30 = 119.54/x
  3. Step 3: Cross multiply
    184.98x = 255.30 × 119.54
  4. Step 4: Simplify right side
    184.98x = 30,518.56
  5. Step 5: Solve for x
    x = 30,518.56/184.98
  6. Step 6: Final answer
    x = 164.98

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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.