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Finding the Fourth Proportional to 378.09, 520.38 and 364.12

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Solution

The fourth proportional to 378.09, 520.38 and 364.12 is: 501.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.09 : 520.38 = 364.12 : x
  2. Step 2: Convert to fraction form
    378.09/520.38 = 364.12/x
  3. Step 3: Cross multiply
    378.09x = 520.38 × 364.12
  4. Step 4: Simplify right side
    378.09x = 189,479.46
  5. Step 5: Solve for x
    x = 189,479.46/378.09
  6. Step 6: Final answer
    x = 501.15

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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.