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Finding the Fourth Proportional to 186.13, 255.34 and 181.33

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Solution

The fourth proportional to 186.13, 255.34 and 181.33 is: 248.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.13 : 255.34 = 181.33 : x
  2. Step 2: Convert to fraction form
    186.13/255.34 = 181.33/x
  3. Step 3: Cross multiply
    186.13x = 255.34 × 181.33
  4. Step 4: Simplify right side
    186.13x = 46,300.80
  5. Step 5: Solve for x
    x = 46,300.80/186.13
  6. Step 6: Final answer
    x = 248.76

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.