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Finding the Fourth Proportional to 386.11, 578.67 and 142.48

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Solution

The fourth proportional to 386.11, 578.67 and 142.48 is: 213.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.11 : 578.67 = 142.48 : x
  2. Step 2: Convert to fraction form
    386.11/578.67 = 142.48/x
  3. Step 3: Cross multiply
    386.11x = 578.67 × 142.48
  4. Step 4: Simplify right side
    386.11x = 82,448.90
  5. Step 5: Solve for x
    x = 82,448.90/386.11
  6. Step 6: Final answer
    x = 213.54

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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.