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Finding the Fourth Proportional to 301.07, 414.77 and 212.22

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Solution

The fourth proportional to 301.07, 414.77 and 212.22 is: 292.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.07 : 414.77 = 212.22 : x
  2. Step 2: Convert to fraction form
    301.07/414.77 = 212.22/x
  3. Step 3: Cross multiply
    301.07x = 414.77 × 212.22
  4. Step 4: Simplify right side
    301.07x = 88,021.43
  5. Step 5: Solve for x
    x = 88,021.43/301.07
  6. Step 6: Final answer
    x = 292.37

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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.