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Finding the Fourth Proportional to 386.75, 533.67 and 239.33

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Solution

The fourth proportional to 386.75, 533.67 and 239.33 is: 330.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.75 : 533.67 = 239.33 : x
  2. Step 2: Convert to fraction form
    386.75/533.67 = 239.33/x
  3. Step 3: Cross multiply
    386.75x = 533.67 × 239.33
  4. Step 4: Simplify right side
    386.75x = 127,720.57
  5. Step 5: Solve for x
    x = 127,720.57/386.75
  6. Step 6: Final answer
    x = 330.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.