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Finding the Fourth Proportional to 329.06, 495.38 and 284.42

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Solution

The fourth proportional to 329.06, 495.38 and 284.42 is: 428.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.06 : 495.38 = 284.42 : x
  2. Step 2: Convert to fraction form
    329.06/495.38 = 284.42/x
  3. Step 3: Cross multiply
    329.06x = 495.38 × 284.42
  4. Step 4: Simplify right side
    329.06x = 140,895.98
  5. Step 5: Solve for x
    x = 140,895.98/329.06
  6. Step 6: Final answer
    x = 428.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.