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Finding the Fourth Proportional to 397.89, 548.42 and 287.19

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Solution

The fourth proportional to 397.89, 548.42 and 287.19 is: 395.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.89 : 548.42 = 287.19 : x
  2. Step 2: Convert to fraction form
    397.89/548.42 = 287.19/x
  3. Step 3: Cross multiply
    397.89x = 548.42 × 287.19
  4. Step 4: Simplify right side
    397.89x = 157,499.30
  5. Step 5: Solve for x
    x = 157,499.30/397.89
  6. Step 6: Final answer
    x = 395.84

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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.