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Finding the Fourth Proportional to 382.08, 570.17 and 327.21

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Solution

The fourth proportional to 382.08, 570.17 and 327.21 is: 488.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.08 : 570.17 = 327.21 : x
  2. Step 2: Convert to fraction form
    382.08/570.17 = 327.21/x
  3. Step 3: Cross multiply
    382.08x = 570.17 × 327.21
  4. Step 4: Simplify right side
    382.08x = 186,564.01
  5. Step 5: Solve for x
    x = 186,564.01/382.08
  6. Step 6: Final answer
    x = 488.28

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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.