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Finding the Fourth Proportional to 186.05, 256.25 and 161.48

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Solution

The fourth proportional to 186.05, 256.25 and 161.48 is: 222.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.05 : 256.25 = 161.48 : x
  2. Step 2: Convert to fraction form
    186.05/256.25 = 161.48/x
  3. Step 3: Cross multiply
    186.05x = 256.25 × 161.48
  4. Step 4: Simplify right side
    186.05x = 41,380.29
  5. Step 5: Solve for x
    x = 41,380.29/186.05
  6. Step 6: Final answer
    x = 222.41

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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.