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Finding the Fourth Proportional to 380.49, 524.57 and 327.97

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Solution

The fourth proportional to 380.49, 524.57 and 327.97 is: 452.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.49 : 524.57 = 327.97 : x
  2. Step 2: Convert to fraction form
    380.49/524.57 = 327.97/x
  3. Step 3: Cross multiply
    380.49x = 524.57 × 327.97
  4. Step 4: Simplify right side
    380.49x = 172,043.22
  5. Step 5: Solve for x
    x = 172,043.22/380.49
  6. Step 6: Final answer
    x = 452.16

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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.