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Finding the Fourth Proportional to 394.48, 540.44 and 379.70

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Solution

The fourth proportional to 394.48, 540.44 and 379.70 is: 520.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.48 : 540.44 = 379.70 : x
  2. Step 2: Convert to fraction form
    394.48/540.44 = 379.70/x
  3. Step 3: Cross multiply
    394.48x = 540.44 × 379.70
  4. Step 4: Simplify right side
    394.48x = 205,206.51
  5. Step 5: Solve for x
    x = 205,206.51/394.48
  6. Step 6: Final answer
    x = 520.19

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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.