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Finding the Fourth Proportional to 386.52, 579.02 and 203.46

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Solution

The fourth proportional to 386.52, 579.02 and 203.46 is: 304.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.52 : 579.02 = 203.46 : x
  2. Step 2: Convert to fraction form
    386.52/579.02 = 203.46/x
  3. Step 3: Cross multiply
    386.52x = 579.02 × 203.46
  4. Step 4: Simplify right side
    386.52x = 117,807.41
  5. Step 5: Solve for x
    x = 117,807.41/386.52
  6. Step 6: Final answer
    x = 304.79

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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.