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Finding the Fourth Proportional to 186.24, 255.83 and 180.78

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Solution

The fourth proportional to 186.24, 255.83 and 180.78 is: 248.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.24 : 255.83 = 180.78 : x
  2. Step 2: Convert to fraction form
    186.24/255.83 = 180.78/x
  3. Step 3: Cross multiply
    186.24x = 255.83 × 180.78
  4. Step 4: Simplify right side
    186.24x = 46,247.08
  5. Step 5: Solve for x
    x = 46,247.08/186.24
  6. Step 6: Final answer
    x = 248.31

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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.