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Finding the Fourth Proportional to 348.96, 481.62 and 209.16

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Solution

The fourth proportional to 348.96, 481.62 and 209.16 is: 288.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.96 : 481.62 = 209.16 : x
  2. Step 2: Convert to fraction form
    348.96/481.62 = 209.16/x
  3. Step 3: Cross multiply
    348.96x = 481.62 × 209.16
  4. Step 4: Simplify right side
    348.96x = 100,735.64
  5. Step 5: Solve for x
    x = 100,735.64/348.96
  6. Step 6: Final answer
    x = 288.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.