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Finding the Fourth Proportional to 353.91, 488.09 and 301.61

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Solution

The fourth proportional to 353.91, 488.09 and 301.61 is: 415.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.91 : 488.09 = 301.61 : x
  2. Step 2: Convert to fraction form
    353.91/488.09 = 301.61/x
  3. Step 3: Cross multiply
    353.91x = 488.09 × 301.61
  4. Step 4: Simplify right side
    353.91x = 147,212.82
  5. Step 5: Solve for x
    x = 147,212.82/353.91
  6. Step 6: Final answer
    x = 415.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.