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Finding the Fourth Proportional to 366.68, 504.78 and 329.84

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Solution

The fourth proportional to 366.68, 504.78 and 329.84 is: 454.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.68 : 504.78 = 329.84 : x
  2. Step 2: Convert to fraction form
    366.68/504.78 = 329.84/x
  3. Step 3: Cross multiply
    366.68x = 504.78 × 329.84
  4. Step 4: Simplify right side
    366.68x = 166,496.64
  5. Step 5: Solve for x
    x = 166,496.64/366.68
  6. Step 6: Final answer
    x = 454.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.