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Finding the Fourth Proportional to 186.38, 255.46 and 186.08

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Solution

The fourth proportional to 186.38, 255.46 and 186.08 is: 255.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.38 : 255.46 = 186.08 : x
  2. Step 2: Convert to fraction form
    186.38/255.46 = 186.08/x
  3. Step 3: Cross multiply
    186.38x = 255.46 × 186.08
  4. Step 4: Simplify right side
    186.38x = 47,536.00
  5. Step 5: Solve for x
    x = 47,536.00/186.38
  6. Step 6: Final answer
    x = 255.05

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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.