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Finding the Fourth Proportional to 186.03, 255.34 and 164.84

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Solution

The fourth proportional to 186.03, 255.34 and 164.84 is: 226.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.03 : 255.34 = 164.84 : x
  2. Step 2: Convert to fraction form
    186.03/255.34 = 164.84/x
  3. Step 3: Cross multiply
    186.03x = 255.34 × 164.84
  4. Step 4: Simplify right side
    186.03x = 42,090.25
  5. Step 5: Solve for x
    x = 42,090.25/186.03
  6. Step 6: Final answer
    x = 226.26

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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.