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Finding the Fourth Proportional to 355.86, 493.09 and 351.41

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Solution

The fourth proportional to 355.86, 493.09 and 351.41 is: 486.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.86 : 493.09 = 351.41 : x
  2. Step 2: Convert to fraction form
    355.86/493.09 = 351.41/x
  3. Step 3: Cross multiply
    355.86x = 493.09 × 351.41
  4. Step 4: Simplify right side
    355.86x = 173,273.41
  5. Step 5: Solve for x
    x = 173,273.41/355.86
  6. Step 6: Final answer
    x = 486.91

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.