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Finding the Fourth Proportional to 185.43, 256.95 and 181.18

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Solution

The fourth proportional to 185.43, 256.95 and 181.18 is: 251.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.43 : 256.95 = 181.18 : x
  2. Step 2: Convert to fraction form
    185.43/256.95 = 181.18/x
  3. Step 3: Cross multiply
    185.43x = 256.95 × 181.18
  4. Step 4: Simplify right side
    185.43x = 46,553.56
  5. Step 5: Solve for x
    x = 46,553.56/185.43
  6. Step 6: Final answer
    x = 251.06

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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.