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Finding the Fourth Proportional to 386.57, 577.26 and 337.97

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Solution

The fourth proportional to 386.57, 577.26 and 337.97 is: 504.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.57 : 577.26 = 337.97 : x
  2. Step 2: Convert to fraction form
    386.57/577.26 = 337.97/x
  3. Step 3: Cross multiply
    386.57x = 577.26 × 337.97
  4. Step 4: Simplify right side
    386.57x = 195,092.41
  5. Step 5: Solve for x
    x = 195,092.41/386.57
  6. Step 6: Final answer
    x = 504.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.