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Finding the Fourth Proportional to 329.78, 493.46 and 256.88

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Solution

The fourth proportional to 329.78, 493.46 and 256.88 is: 384.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.78 : 493.46 = 256.88 : x
  2. Step 2: Convert to fraction form
    329.78/493.46 = 256.88/x
  3. Step 3: Cross multiply
    329.78x = 493.46 × 256.88
  4. Step 4: Simplify right side
    329.78x = 126,759.95
  5. Step 5: Solve for x
    x = 126,759.95/329.78
  6. Step 6: Final answer
    x = 384.37

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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.