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Finding the Fourth Proportional to 412.11, 615.27 and 350.37

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Solution

The fourth proportional to 412.11, 615.27 and 350.37 is: 523.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.11 : 615.27 = 350.37 : x
  2. Step 2: Convert to fraction form
    412.11/615.27 = 350.37/x
  3. Step 3: Cross multiply
    412.11x = 615.27 × 350.37
  4. Step 4: Simplify right side
    412.11x = 215,572.15
  5. Step 5: Solve for x
    x = 215,572.15/412.11
  6. Step 6: Final answer
    x = 523.09

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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.