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Finding the Fourth Proportional to 185.40, 255.56 and 119.80

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Solution

The fourth proportional to 185.40, 255.56 and 119.80 is: 165.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.40 : 255.56 = 119.80 : x
  2. Step 2: Convert to fraction form
    185.40/255.56 = 119.80/x
  3. Step 3: Cross multiply
    185.40x = 255.56 × 119.80
  4. Step 4: Simplify right side
    185.40x = 30,616.09
  5. Step 5: Solve for x
    x = 30,616.09/185.40
  6. Step 6: Final answer
    x = 165.14

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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.