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Finding the Fourth Proportional to 386.67, 578.97 and 212.52

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Solution

The fourth proportional to 386.67, 578.97 and 212.52 is: 318.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.67 : 578.97 = 212.52 : x
  2. Step 2: Convert to fraction form
    386.67/578.97 = 212.52/x
  3. Step 3: Cross multiply
    386.67x = 578.97 × 212.52
  4. Step 4: Simplify right side
    386.67x = 123,042.70
  5. Step 5: Solve for x
    x = 123,042.70/386.67
  6. Step 6: Final answer
    x = 318.21

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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.