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Finding the Fourth Proportional to 186.22, 256.85 and 119.85

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Solution

The fourth proportional to 186.22, 256.85 and 119.85 is: 165.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.22 : 256.85 = 119.85 : x
  2. Step 2: Convert to fraction form
    186.22/256.85 = 119.85/x
  3. Step 3: Cross multiply
    186.22x = 256.85 × 119.85
  4. Step 4: Simplify right side
    186.22x = 30,783.13
  5. Step 5: Solve for x
    x = 30,783.13/186.22
  6. Step 6: Final answer
    x = 165.31

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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.