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Finding the Fourth Proportional to 386.40, 533.49 and 239.25

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Solution

The fourth proportional to 386.40, 533.49 and 239.25 is: 330.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.40 : 533.49 = 239.25 : x
  2. Step 2: Convert to fraction form
    386.40/533.49 = 239.25/x
  3. Step 3: Cross multiply
    386.40x = 533.49 × 239.25
  4. Step 4: Simplify right side
    386.40x = 127,638.59
  5. Step 5: Solve for x
    x = 127,638.59/386.40
  6. Step 6: Final answer
    x = 330.32

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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.