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Finding the Fourth Proportional to 456.85, 685.17 and 213.25

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Solution

The fourth proportional to 456.85, 685.17 and 213.25 is: 319.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.85 : 685.17 = 213.25 : x
  2. Step 2: Convert to fraction form
    456.85/685.17 = 213.25/x
  3. Step 3: Cross multiply
    456.85x = 685.17 × 213.25
  4. Step 4: Simplify right side
    456.85x = 146,112.50
  5. Step 5: Solve for x
    x = 146,112.50/456.85
  6. Step 6: Final answer
    x = 319.83

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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.