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Finding the Fourth Proportional to 386.28, 579.03 and 203.46

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Solution

The fourth proportional to 386.28, 579.03 and 203.46 is: 304.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.28 : 579.03 = 203.46 : x
  2. Step 2: Convert to fraction form
    386.28/579.03 = 203.46/x
  3. Step 3: Cross multiply
    386.28x = 579.03 × 203.46
  4. Step 4: Simplify right side
    386.28x = 117,809.44
  5. Step 5: Solve for x
    x = 117,809.44/386.28
  6. Step 6: Final answer
    x = 304.98

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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.