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Finding the Fourth Proportional to 186.52, 257.38 and 107.80

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Solution

The fourth proportional to 186.52, 257.38 and 107.80 is: 148.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.52 : 257.38 = 107.80 : x
  2. Step 2: Convert to fraction form
    186.52/257.38 = 107.80/x
  3. Step 3: Cross multiply
    186.52x = 257.38 × 107.80
  4. Step 4: Simplify right side
    186.52x = 27,745.56
  5. Step 5: Solve for x
    x = 27,745.56/186.52
  6. Step 6: Final answer
    x = 148.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.