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Finding the Fourth Proportional to 186.71, 281.78 and 181.85

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Solution

The fourth proportional to 186.71, 281.78 and 181.85 is: 274.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.71 : 281.78 = 181.85 : x
  2. Step 2: Convert to fraction form
    186.71/281.78 = 181.85/x
  3. Step 3: Cross multiply
    186.71x = 281.78 × 181.85
  4. Step 4: Simplify right side
    186.71x = 51,240.06
  5. Step 5: Solve for x
    x = 51,240.06/186.71
  6. Step 6: Final answer
    x = 274.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.