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Finding the Fourth Proportional to 386.56, 577.24 and 337.92

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Solution

The fourth proportional to 386.56, 577.24 and 337.92 is: 504.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.56 : 577.24 = 337.92 : x
  2. Step 2: Convert to fraction form
    386.56/577.24 = 337.92/x
  3. Step 3: Cross multiply
    386.56x = 577.24 × 337.92
  4. Step 4: Simplify right side
    386.56x = 195,060.94
  5. Step 5: Solve for x
    x = 195,060.94/386.56
  6. Step 6: Final answer
    x = 504.61

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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.