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Finding the Fourth Proportional to 209.41, 313.91 and 196.45

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Solution

The fourth proportional to 209.41, 313.91 and 196.45 is: 294.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.41 : 313.91 = 196.45 : x
  2. Step 2: Convert to fraction form
    209.41/313.91 = 196.45/x
  3. Step 3: Cross multiply
    209.41x = 313.91 × 196.45
  4. Step 4: Simplify right side
    209.41x = 61,666.59
  5. Step 5: Solve for x
    x = 61,666.59/209.41
  6. Step 6: Final answer
    x = 294.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.