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Finding the Fourth Proportional to 186.62, 258.80 and 181.58

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Solution

The fourth proportional to 186.62, 258.80 and 181.58 is: 251.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.62 : 258.80 = 181.58 : x
  2. Step 2: Convert to fraction form
    186.62/258.80 = 181.58/x
  3. Step 3: Cross multiply
    186.62x = 258.80 × 181.58
  4. Step 4: Simplify right side
    186.62x = 46,990.70
  5. Step 5: Solve for x
    x = 46,990.70/186.62
  6. Step 6: Final answer
    x = 251.81

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.