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Finding the Fourth Proportional to 397.94, 549.46 and 343.27

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Solution

The fourth proportional to 397.94, 549.46 and 343.27 is: 473.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.94 : 549.46 = 343.27 : x
  2. Step 2: Convert to fraction form
    397.94/549.46 = 343.27/x
  3. Step 3: Cross multiply
    397.94x = 549.46 × 343.27
  4. Step 4: Simplify right side
    397.94x = 188,608.67
  5. Step 5: Solve for x
    x = 188,608.67/397.94
  6. Step 6: Final answer
    x = 473.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.