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Finding the Fourth Proportional to 394.80, 593.42 and 359.56

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Solution

The fourth proportional to 394.80, 593.42 and 359.56 is: 540.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.80 : 593.42 = 359.56 : x
  2. Step 2: Convert to fraction form
    394.80/593.42 = 359.56/x
  3. Step 3: Cross multiply
    394.80x = 593.42 × 359.56
  4. Step 4: Simplify right side
    394.80x = 213,370.10
  5. Step 5: Solve for x
    x = 213,370.10/394.80
  6. Step 6: Final answer
    x = 540.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.