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Finding the Fourth Proportional to 399.36, 551.37 and 257.64

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Solution

The fourth proportional to 399.36, 551.37 and 257.64 is: 355.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.36 : 551.37 = 257.64 : x
  2. Step 2: Convert to fraction form
    399.36/551.37 = 257.64/x
  3. Step 3: Cross multiply
    399.36x = 551.37 × 257.64
  4. Step 4: Simplify right side
    399.36x = 142,054.97
  5. Step 5: Solve for x
    x = 142,054.97/399.36
  6. Step 6: Final answer
    x = 355.71

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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.