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Finding the Fourth Proportional to 226.37, 312.69 and 185.44

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Solution

The fourth proportional to 226.37, 312.69 and 185.44 is: 256.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.37 : 312.69 = 185.44 : x
  2. Step 2: Convert to fraction form
    226.37/312.69 = 185.44/x
  3. Step 3: Cross multiply
    226.37x = 312.69 × 185.44
  4. Step 4: Simplify right side
    226.37x = 57,984.17
  5. Step 5: Solve for x
    x = 57,984.17/226.37
  6. Step 6: Final answer
    x = 256.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.