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Finding the Fourth Proportional to 312.99, 431.73 and 196.62

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Solution

The fourth proportional to 312.99, 431.73 and 196.62 is: 271.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.99 : 431.73 = 196.62 : x
  2. Step 2: Convert to fraction form
    312.99/431.73 = 196.62/x
  3. Step 3: Cross multiply
    312.99x = 431.73 × 196.62
  4. Step 4: Simplify right side
    312.99x = 84,886.75
  5. Step 5: Solve for x
    x = 84,886.75/312.99
  6. Step 6: Final answer
    x = 271.21

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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.