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Finding the Fourth Proportional to 398.94, 548.40 and 356.48

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Solution

The fourth proportional to 398.94, 548.40 and 356.48 is: 490.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.94 : 548.40 = 356.48 : x
  2. Step 2: Convert to fraction form
    398.94/548.40 = 356.48/x
  3. Step 3: Cross multiply
    398.94x = 548.40 × 356.48
  4. Step 4: Simplify right side
    398.94x = 195,493.63
  5. Step 5: Solve for x
    x = 195,493.63/398.94
  6. Step 6: Final answer
    x = 490.04

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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.