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Finding the Fourth Proportional to 209.44, 312.46 and 199.64

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Solution

The fourth proportional to 209.44, 312.46 and 199.64 is: 297.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.44 : 312.46 = 199.64 : x
  2. Step 2: Convert to fraction form
    209.44/312.46 = 199.64/x
  3. Step 3: Cross multiply
    209.44x = 312.46 × 199.64
  4. Step 4: Simplify right side
    209.44x = 62,378.92
  5. Step 5: Solve for x
    x = 62,378.92/209.44
  6. Step 6: Final answer
    x = 297.84

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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.