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Finding the Fourth Proportional to 329, 491.29 and 268

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Solution

The fourth proportional to 329, 491.29 and 268 is: 400.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    329 : 491.29 = 268 : x
  2. Step 2: Convert to fraction form
    329/491.29 = 268/x
  3. Step 3: Cross multiply
    329x = 491.29 × 268
  4. Step 4: Simplify right side
    329x = 131,665.72
  5. Step 5: Solve for x
    x = 131,665.72/329
  6. Step 6: Final answer
    x = 400.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.