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Finding the Fourth Proportional to 312.42, 431.22 and 196.08

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Solution

The fourth proportional to 312.42, 431.22 and 196.08 is: 270.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.42 : 431.22 = 196.08 : x
  2. Step 2: Convert to fraction form
    312.42/431.22 = 196.08/x
  3. Step 3: Cross multiply
    312.42x = 431.22 × 196.08
  4. Step 4: Simplify right side
    312.42x = 84,553.62
  5. Step 5: Solve for x
    x = 84,553.62/312.42
  6. Step 6: Final answer
    x = 270.64

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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.