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Finding the Fourth Proportional to 186.14, 255.48 and 170.51

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Solution

The fourth proportional to 186.14, 255.48 and 170.51 is: 234.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.14 : 255.48 = 170.51 : x
  2. Step 2: Convert to fraction form
    186.14/255.48 = 170.51/x
  3. Step 3: Cross multiply
    186.14x = 255.48 × 170.51
  4. Step 4: Simplify right side
    186.14x = 43,559.98
  5. Step 5: Solve for x
    x = 43,559.98/186.14
  6. Step 6: Final answer
    x = 234.01

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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.