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Finding the Fourth Proportional to 386.57, 580.28 and 203.91

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Solution

The fourth proportional to 386.57, 580.28 and 203.91 is: 306.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.57 : 580.28 = 203.91 : x
  2. Step 2: Convert to fraction form
    386.57/580.28 = 203.91/x
  3. Step 3: Cross multiply
    386.57x = 580.28 × 203.91
  4. Step 4: Simplify right side
    386.57x = 118,323.88
  5. Step 5: Solve for x
    x = 118,323.88/386.57
  6. Step 6: Final answer
    x = 306.09

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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.