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Finding the Fourth Proportional to 400.94, 600.37 and 343.53

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Solution

The fourth proportional to 400.94, 600.37 and 343.53 is: 514.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.94 : 600.37 = 343.53 : x
  2. Step 2: Convert to fraction form
    400.94/600.37 = 343.53/x
  3. Step 3: Cross multiply
    400.94x = 600.37 × 343.53
  4. Step 4: Simplify right side
    400.94x = 206,245.11
  5. Step 5: Solve for x
    x = 206,245.11/400.94
  6. Step 6: Final answer
    x = 514.40

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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.