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Finding the Fourth Proportional to 301.42, 412.37 and 300.22

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Solution

The fourth proportional to 301.42, 412.37 and 300.22 is: 410.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.42 : 412.37 = 300.22 : x
  2. Step 2: Convert to fraction form
    301.42/412.37 = 300.22/x
  3. Step 3: Cross multiply
    301.42x = 412.37 × 300.22
  4. Step 4: Simplify right side
    301.42x = 123,801.72
  5. Step 5: Solve for x
    x = 123,801.72/301.42
  6. Step 6: Final answer
    x = 410.73

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.