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Finding the Fourth Proportional to 353.92, 491.77 and 350.12

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Solution

The fourth proportional to 353.92, 491.77 and 350.12 is: 486.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.92 : 491.77 = 350.12 : x
  2. Step 2: Convert to fraction form
    353.92/491.77 = 350.12/x
  3. Step 3: Cross multiply
    353.92x = 491.77 × 350.12
  4. Step 4: Simplify right side
    353.92x = 172,178.51
  5. Step 5: Solve for x
    x = 172,178.51/353.92
  6. Step 6: Final answer
    x = 486.49

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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.