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Finding the Fourth Proportional to 456.45, 683.73 and 213.18

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Solution

The fourth proportional to 456.45, 683.73 and 213.18 is: 319.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.45 : 683.73 = 213.18 : x
  2. Step 2: Convert to fraction form
    456.45/683.73 = 213.18/x
  3. Step 3: Cross multiply
    456.45x = 683.73 × 213.18
  4. Step 4: Simplify right side
    456.45x = 145,757.56
  5. Step 5: Solve for x
    x = 145,757.56/456.45
  6. Step 6: Final answer
    x = 319.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.