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Finding the Fourth Proportional to 186.38, 255.36 and 160.46

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Solution

The fourth proportional to 186.38, 255.36 and 160.46 is: 219.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.38 : 255.36 = 160.46 : x
  2. Step 2: Convert to fraction form
    186.38/255.36 = 160.46/x
  3. Step 3: Cross multiply
    186.38x = 255.36 × 160.46
  4. Step 4: Simplify right side
    186.38x = 40,974.26
  5. Step 5: Solve for x
    x = 40,974.26/186.38
  6. Step 6: Final answer
    x = 219.84

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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.