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Finding the Fourth Proportional to 186.31, 277.77 and 181.58

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Solution

The fourth proportional to 186.31, 277.77 and 181.58 is: 270.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.31 : 277.77 = 181.58 : x
  2. Step 2: Convert to fraction form
    186.31/277.77 = 181.58/x
  3. Step 3: Cross multiply
    186.31x = 277.77 × 181.58
  4. Step 4: Simplify right side
    186.31x = 50,435.41
  5. Step 5: Solve for x
    x = 50,435.41/186.31
  6. Step 6: Final answer
    x = 270.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.