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Finding the Fourth Proportional to 386.26, 578.25 and 248.90

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Solution

The fourth proportional to 386.26, 578.25 and 248.90 is: 372.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.26 : 578.25 = 248.90 : x
  2. Step 2: Convert to fraction form
    386.26/578.25 = 248.90/x
  3. Step 3: Cross multiply
    386.26x = 578.25 × 248.90
  4. Step 4: Simplify right side
    386.26x = 143,926.43
  5. Step 5: Solve for x
    x = 143,926.43/386.26
  6. Step 6: Final answer
    x = 372.62

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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.