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Finding the Fourth Proportional to 386.75, 579.45 and 213.14

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Solution

The fourth proportional to 386.75, 579.45 and 213.14 is: 319.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.75 : 579.45 = 213.14 : x
  2. Step 2: Convert to fraction form
    386.75/579.45 = 213.14/x
  3. Step 3: Cross multiply
    386.75x = 579.45 × 213.14
  4. Step 4: Simplify right side
    386.75x = 123,503.97
  5. Step 5: Solve for x
    x = 123,503.97/386.75
  6. Step 6: Final answer
    x = 319.34

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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.