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Finding the Fourth Proportional to 301.86, 415.49 and 270.26

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Solution

The fourth proportional to 301.86, 415.49 and 270.26 is: 371.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.86 : 415.49 = 270.26 : x
  2. Step 2: Convert to fraction form
    301.86/415.49 = 270.26/x
  3. Step 3: Cross multiply
    301.86x = 415.49 × 270.26
  4. Step 4: Simplify right side
    301.86x = 112,290.33
  5. Step 5: Solve for x
    x = 112,290.33/301.86
  6. Step 6: Final answer
    x = 371.99

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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.