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Finding the Fourth Proportional to 186.30, 258.53 and 181.26

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Solution

The fourth proportional to 186.30, 258.53 and 181.26 is: 251.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.30 : 258.53 = 181.26 : x
  2. Step 2: Convert to fraction form
    186.30/258.53 = 181.26/x
  3. Step 3: Cross multiply
    186.30x = 258.53 × 181.26
  4. Step 4: Simplify right side
    186.30x = 46,860.24
  5. Step 5: Solve for x
    x = 46,860.24/186.30
  6. Step 6: Final answer
    x = 251.53

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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.