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Finding the Fourth Proportional to 378.30, 520.98 and 328.49

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Solution

The fourth proportional to 378.30, 520.98 and 328.49 is: 452.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.30 : 520.98 = 328.49 : x
  2. Step 2: Convert to fraction form
    378.30/520.98 = 328.49/x
  3. Step 3: Cross multiply
    378.30x = 520.98 × 328.49
  4. Step 4: Simplify right side
    378.30x = 171,134.12
  5. Step 5: Solve for x
    x = 171,134.12/378.30
  6. Step 6: Final answer
    x = 452.38

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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.