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Finding the Fourth Proportional to 386.33, 578.28 and 270.23

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Solution

The fourth proportional to 386.33, 578.28 and 270.23 is: 404.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.33 : 578.28 = 270.23 : x
  2. Step 2: Convert to fraction form
    386.33/578.28 = 270.23/x
  3. Step 3: Cross multiply
    386.33x = 578.28 × 270.23
  4. Step 4: Simplify right side
    386.33x = 156,268.60
  5. Step 5: Solve for x
    x = 156,268.60/386.33
  6. Step 6: Final answer
    x = 404.50

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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.