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Finding the Fourth Proportional to 394.42, 540.35 and 379.64

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Solution

The fourth proportional to 394.42, 540.35 and 379.64 is: 520.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.42 : 540.35 = 379.64 : x
  2. Step 2: Convert to fraction form
    394.42/540.35 = 379.64/x
  3. Step 3: Cross multiply
    394.42x = 540.35 × 379.64
  4. Step 4: Simplify right side
    394.42x = 205,135.77
  5. Step 5: Solve for x
    x = 205,135.77/394.42
  6. Step 6: Final answer
    x = 520.10

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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.