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Finding the Fourth Proportional to 344.54, 475.52 and 257.46

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Solution

The fourth proportional to 344.54, 475.52 and 257.46 is: 355.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.54 : 475.52 = 257.46 : x
  2. Step 2: Convert to fraction form
    344.54/475.52 = 257.46/x
  3. Step 3: Cross multiply
    344.54x = 475.52 × 257.46
  4. Step 4: Simplify right side
    344.54x = 122,427.38
  5. Step 5: Solve for x
    x = 122,427.38/344.54
  6. Step 6: Final answer
    x = 355.34

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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.