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Finding the Fourth Proportional to 329.02, 490.97 and 285.28

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Solution

The fourth proportional to 329.02, 490.97 and 285.28 is: 425.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.02 : 490.97 = 285.28 : x
  2. Step 2: Convert to fraction form
    329.02/490.97 = 285.28/x
  3. Step 3: Cross multiply
    329.02x = 490.97 × 285.28
  4. Step 4: Simplify right side
    329.02x = 140,063.41
  5. Step 5: Solve for x
    x = 140,063.41/329.02
  6. Step 6: Final answer
    x = 425.70

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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.