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Finding the Fourth Proportional to 386.21, 579.99 and 379.46

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Solution

The fourth proportional to 386.21, 579.99 and 379.46 is: 569.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.21 : 579.99 = 379.46 : x
  2. Step 2: Convert to fraction form
    386.21/579.99 = 379.46/x
  3. Step 3: Cross multiply
    386.21x = 579.99 × 379.46
  4. Step 4: Simplify right side
    386.21x = 220,083.01
  5. Step 5: Solve for x
    x = 220,083.01/386.21
  6. Step 6: Final answer
    x = 569.85

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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.