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Finding the Fourth Proportional to 209.98, 313.43 and 185.35

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Solution

The fourth proportional to 209.98, 313.43 and 185.35 is: 276.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.98 : 313.43 = 185.35 : x
  2. Step 2: Convert to fraction form
    209.98/313.43 = 185.35/x
  3. Step 3: Cross multiply
    209.98x = 313.43 × 185.35
  4. Step 4: Simplify right side
    209.98x = 58,092.54
  5. Step 5: Solve for x
    x = 58,092.54/209.98
  6. Step 6: Final answer
    x = 276.66

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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.