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Finding the Fourth Proportional to 209.98, 313.30 and 196.12

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Solution

The fourth proportional to 209.98, 313.30 and 196.12 is: 292.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.98 : 313.30 = 196.12 : x
  2. Step 2: Convert to fraction form
    209.98/313.30 = 196.12/x
  3. Step 3: Cross multiply
    209.98x = 313.30 × 196.12
  4. Step 4: Simplify right side
    209.98x = 61,444.40
  5. Step 5: Solve for x
    x = 61,444.40/209.98
  6. Step 6: Final answer
    x = 292.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.