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Finding the Fourth Proportional to 344.92, 475.30 and 257.44

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Solution

The fourth proportional to 344.92, 475.30 and 257.44 is: 354.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.92 : 475.30 = 257.44 : x
  2. Step 2: Convert to fraction form
    344.92/475.30 = 257.44/x
  3. Step 3: Cross multiply
    344.92x = 475.30 × 257.44
  4. Step 4: Simplify right side
    344.92x = 122,361.23
  5. Step 5: Solve for x
    x = 122,361.23/344.92
  6. Step 6: Final answer
    x = 354.75

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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.