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Finding the Fourth Proportional to 378.24, 520.66 and 328.92

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Solution

The fourth proportional to 378.24, 520.66 and 328.92 is: 452.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.24 : 520.66 = 328.92 : x
  2. Step 2: Convert to fraction form
    378.24/520.66 = 328.92/x
  3. Step 3: Cross multiply
    378.24x = 520.66 × 328.92
  4. Step 4: Simplify right side
    378.24x = 171,255.49
  5. Step 5: Solve for x
    x = 171,255.49/378.24
  6. Step 6: Final answer
    x = 452.77

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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.