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Finding the Fourth Proportional to 386.23, 578.98 and 142.69

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Solution

The fourth proportional to 386.23, 578.98 and 142.69 is: 213.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.23 : 578.98 = 142.69 : x
  2. Step 2: Convert to fraction form
    386.23/578.98 = 142.69/x
  3. Step 3: Cross multiply
    386.23x = 578.98 × 142.69
  4. Step 4: Simplify right side
    386.23x = 82,614.66
  5. Step 5: Solve for x
    x = 82,614.66/386.23
  6. Step 6: Final answer
    x = 213.90

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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.