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Finding the Fourth Proportional to 382.84, 573.27 and 328.34

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Solution

The fourth proportional to 382.84, 573.27 and 328.34 is: 491.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.84 : 573.27 = 328.34 : x
  2. Step 2: Convert to fraction form
    382.84/573.27 = 328.34/x
  3. Step 3: Cross multiply
    382.84x = 573.27 × 328.34
  4. Step 4: Simplify right side
    382.84x = 188,227.47
  5. Step 5: Solve for x
    x = 188,227.47/382.84
  6. Step 6: Final answer
    x = 491.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.