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Finding the Fourth Proportional to 329.95, 491.74 and 329.44

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Solution

The fourth proportional to 329.95, 491.74 and 329.44 is: 490.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.95 : 491.74 = 329.44 : x
  2. Step 2: Convert to fraction form
    329.95/491.74 = 329.44/x
  3. Step 3: Cross multiply
    329.95x = 491.74 × 329.44
  4. Step 4: Simplify right side
    329.95x = 161,998.83
  5. Step 5: Solve for x
    x = 161,998.83/329.95
  6. Step 6: Final answer
    x = 490.98

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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.