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Finding the Fourth Proportional to 329.04, 489.87 and 327.42

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Solution

The fourth proportional to 329.04, 489.87 and 327.42 is: 487.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.04 : 489.87 = 327.42 : x
  2. Step 2: Convert to fraction form
    329.04/489.87 = 327.42/x
  3. Step 3: Cross multiply
    329.04x = 489.87 × 327.42
  4. Step 4: Simplify right side
    329.04x = 160,393.24
  5. Step 5: Solve for x
    x = 160,393.24/329.04
  6. Step 6: Final answer
    x = 487.46

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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.