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Finding the Fourth Proportional to 378.05, 520.80 and 359.52

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Solution

The fourth proportional to 378.05, 520.80 and 359.52 is: 495.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.05 : 520.80 = 359.52 : x
  2. Step 2: Convert to fraction form
    378.05/520.80 = 359.52/x
  3. Step 3: Cross multiply
    378.05x = 520.80 × 359.52
  4. Step 4: Simplify right side
    378.05x = 187,238.02
  5. Step 5: Solve for x
    x = 187,238.02/378.05
  6. Step 6: Final answer
    x = 495.27

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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.