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Finding the Fourth Proportional to 386.82, 579.94 and 213.56

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Solution

The fourth proportional to 386.82, 579.94 and 213.56 is: 320.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.82 : 579.94 = 213.56 : x
  2. Step 2: Convert to fraction form
    386.82/579.94 = 213.56/x
  3. Step 3: Cross multiply
    386.82x = 579.94 × 213.56
  4. Step 4: Simplify right side
    386.82x = 123,851.99
  5. Step 5: Solve for x
    x = 123,851.99/386.82
  6. Step 6: Final answer
    x = 320.18

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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.