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Finding the Fourth Proportional to 394.36, 541.31 and 359.80

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Solution

The fourth proportional to 394.36, 541.31 and 359.80 is: 493.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.36 : 541.31 = 359.80 : x
  2. Step 2: Convert to fraction form
    394.36/541.31 = 359.80/x
  3. Step 3: Cross multiply
    394.36x = 541.31 × 359.80
  4. Step 4: Simplify right side
    394.36x = 194,763.34
  5. Step 5: Solve for x
    x = 194,763.34/394.36
  6. Step 6: Final answer
    x = 493.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.