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Finding the Fourth Proportional to 378.63, 519.12 and 371.34

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Solution

The fourth proportional to 378.63, 519.12 and 371.34 is: 509.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.63 : 519.12 = 371.34 : x
  2. Step 2: Convert to fraction form
    378.63/519.12 = 371.34/x
  3. Step 3: Cross multiply
    378.63x = 519.12 × 371.34
  4. Step 4: Simplify right side
    378.63x = 192,770.02
  5. Step 5: Solve for x
    x = 192,770.02/378.63
  6. Step 6: Final answer
    x = 509.13

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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.