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Finding the Fourth Proportional to 386.97, 579.43 and 364.49

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Solution

The fourth proportional to 386.97, 579.43 and 364.49 is: 545.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.97 : 579.43 = 364.49 : x
  2. Step 2: Convert to fraction form
    386.97/579.43 = 364.49/x
  3. Step 3: Cross multiply
    386.97x = 579.43 × 364.49
  4. Step 4: Simplify right side
    386.97x = 211,196.44
  5. Step 5: Solve for x
    x = 211,196.44/386.97
  6. Step 6: Final answer
    x = 545.77

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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.