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Finding the Fourth Proportional to 185.12, 255.46 and 102.23

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Solution

The fourth proportional to 185.12, 255.46 and 102.23 is: 141.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.12 : 255.46 = 102.23 : x
  2. Step 2: Convert to fraction form
    185.12/255.46 = 102.23/x
  3. Step 3: Cross multiply
    185.12x = 255.46 × 102.23
  4. Step 4: Simplify right side
    185.12x = 26,114.14
  5. Step 5: Solve for x
    x = 26,114.14/185.12
  6. Step 6: Final answer
    x = 141.06

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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.