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Finding the Fourth Proportional to 209.57, 312.63 and 194.84

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Solution

The fourth proportional to 209.57, 312.63 and 194.84 is: 290.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.57 : 312.63 = 194.84 : x
  2. Step 2: Convert to fraction form
    209.57/312.63 = 194.84/x
  3. Step 3: Cross multiply
    209.57x = 312.63 × 194.84
  4. Step 4: Simplify right side
    209.57x = 60,911.27
  5. Step 5: Solve for x
    x = 60,911.27/209.57
  6. Step 6: Final answer
    x = 290.66

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