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Finding the Fourth Proportional to 329.67, 457.45 and 326.84

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Solution

The fourth proportional to 329.67, 457.45 and 326.84 is: 453.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.67 : 457.45 = 326.84 : x
  2. Step 2: Convert to fraction form
    329.67/457.45 = 326.84/x
  3. Step 3: Cross multiply
    329.67x = 457.45 × 326.84
  4. Step 4: Simplify right side
    329.67x = 149,509.85
  5. Step 5: Solve for x
    x = 149,509.85/329.67
  6. Step 6: Final answer
    x = 453.51

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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.