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Finding the Fourth Proportional to 382.88, 527.90 and 272.28

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Solution

The fourth proportional to 382.88, 527.90 and 272.28 is: 375.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.88 : 527.90 = 272.28 : x
  2. Step 2: Convert to fraction form
    382.88/527.90 = 272.28/x
  3. Step 3: Cross multiply
    382.88x = 527.90 × 272.28
  4. Step 4: Simplify right side
    382.88x = 143,736.61
  5. Step 5: Solve for x
    x = 143,736.61/382.88
  6. Step 6: Final answer
    x = 375.41

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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.