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Finding the Fourth Proportional to 379.20, 522.36 and 301.44

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Solution

The fourth proportional to 379.20, 522.36 and 301.44 is: 415.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.20 : 522.36 = 301.44 : x
  2. Step 2: Convert to fraction form
    379.20/522.36 = 301.44/x
  3. Step 3: Cross multiply
    379.20x = 522.36 × 301.44
  4. Step 4: Simplify right side
    379.20x = 157,460.20
  5. Step 5: Solve for x
    x = 157,460.20/379.20
  6. Step 6: Final answer
    x = 415.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.