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Finding the Fourth Proportional to 329.72, 457.34 and 320.84

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Solution

The fourth proportional to 329.72, 457.34 and 320.84 is: 445.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.72 : 457.34 = 320.84 : x
  2. Step 2: Convert to fraction form
    329.72/457.34 = 320.84/x
  3. Step 3: Cross multiply
    329.72x = 457.34 × 320.84
  4. Step 4: Simplify right side
    329.72x = 146,732.97
  5. Step 5: Solve for x
    x = 146,732.97/329.72
  6. Step 6: Final answer
    x = 445.02

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.