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Finding the Fourth Proportional to 329.76, 493.74 and 257.76

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Solution

The fourth proportional to 329.76, 493.74 and 257.76 is: 385.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.76 : 493.74 = 257.76 : x
  2. Step 2: Convert to fraction form
    329.76/493.74 = 257.76/x
  3. Step 3: Cross multiply
    329.76x = 493.74 × 257.76
  4. Step 4: Simplify right side
    329.76x = 127,266.42
  5. Step 5: Solve for x
    x = 127,266.42/329.76
  6. Step 6: Final answer
    x = 385.94

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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.