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Finding the Fourth Proportional to 412.21, 569.49 and 350.68

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Solution

The fourth proportional to 412.21, 569.49 and 350.68 is: 484.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.21 : 569.49 = 350.68 : x
  2. Step 2: Convert to fraction form
    412.21/569.49 = 350.68/x
  3. Step 3: Cross multiply
    412.21x = 569.49 × 350.68
  4. Step 4: Simplify right side
    412.21x = 199,708.75
  5. Step 5: Solve for x
    x = 199,708.75/412.21
  6. Step 6: Final answer
    x = 484.48

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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.