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Finding the Fourth Proportional to 329.82, 493.92 and 257.46

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Solution

The fourth proportional to 329.82, 493.92 and 257.46 is: 385.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.82 : 493.92 = 257.46 : x
  2. Step 2: Convert to fraction form
    329.82/493.92 = 257.46/x
  3. Step 3: Cross multiply
    329.82x = 493.92 × 257.46
  4. Step 4: Simplify right side
    329.82x = 127,164.64
  5. Step 5: Solve for x
    x = 127,164.64/329.82
  6. Step 6: Final answer
    x = 385.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.