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Finding the Fourth Proportional to 382.10, 527.91 and 352.94

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Solution

The fourth proportional to 382.10, 527.91 and 352.94 is: 487.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.10 : 527.91 = 352.94 : x
  2. Step 2: Convert to fraction form
    382.10/527.91 = 352.94/x
  3. Step 3: Cross multiply
    382.10x = 527.91 × 352.94
  4. Step 4: Simplify right side
    382.10x = 186,320.56
  5. Step 5: Solve for x
    x = 186,320.56/382.10
  6. Step 6: Final answer
    x = 487.62

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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.