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Finding the Fourth Proportional to 378.08, 519.90 and 366.56

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Solution

The fourth proportional to 378.08, 519.90 and 366.56 is: 504.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.08 : 519.90 = 366.56 : x
  2. Step 2: Convert to fraction form
    378.08/519.90 = 366.56/x
  3. Step 3: Cross multiply
    378.08x = 519.90 × 366.56
  4. Step 4: Simplify right side
    378.08x = 190,574.54
  5. Step 5: Solve for x
    x = 190,574.54/378.08
  6. Step 6: Final answer
    x = 504.06

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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.