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Finding the Fourth Proportional to 185.37, 255.81 and 123.22

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Solution

The fourth proportional to 185.37, 255.81 and 123.22 is: 170.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.37 : 255.81 = 123.22 : x
  2. Step 2: Convert to fraction form
    185.37/255.81 = 123.22/x
  3. Step 3: Cross multiply
    185.37x = 255.81 × 123.22
  4. Step 4: Simplify right side
    185.37x = 31,521.69
  5. Step 5: Solve for x
    x = 31,521.69/185.37
  6. Step 6: Final answer
    x = 170.05

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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.