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Finding the Fourth Proportional to 312.38, 431 and 195.86

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Solution

The fourth proportional to 312.38, 431 and 195.86 is: 270.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.38 : 431 = 195.86 : x
  2. Step 2: Convert to fraction form
    312.38/431 = 195.86/x
  3. Step 3: Cross multiply
    312.38x = 431 × 195.86
  4. Step 4: Simplify right side
    312.38x = 84,415.66
  5. Step 5: Solve for x
    x = 84,415.66/312.38
  6. Step 6: Final answer
    x = 270.23

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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.