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Finding the Fourth Proportional to 456.75, 684.86 and 213.44

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Solution

The fourth proportional to 456.75, 684.86 and 213.44 is: 320.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.75 : 684.86 = 213.44 : x
  2. Step 2: Convert to fraction form
    456.75/684.86 = 213.44/x
  3. Step 3: Cross multiply
    456.75x = 684.86 × 213.44
  4. Step 4: Simplify right side
    456.75x = 146,172.03
  5. Step 5: Solve for x
    x = 146,172.03/456.75
  6. Step 6: Final answer
    x = 320.03

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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.