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Finding the Fourth Proportional to 382.82, 527.12 and 316.18

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Solution

The fourth proportional to 382.82, 527.12 and 316.18 is: 435.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.82 : 527.12 = 316.18 : x
  2. Step 2: Convert to fraction form
    382.82/527.12 = 316.18/x
  3. Step 3: Cross multiply
    382.82x = 527.12 × 316.18
  4. Step 4: Simplify right side
    382.82x = 166,664.80
  5. Step 5: Solve for x
    x = 166,664.80/382.82
  6. Step 6: Final answer
    x = 435.36

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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.