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Finding the Fourth Proportional to 382.29, 527.22 and 316.68

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Solution

The fourth proportional to 382.29, 527.22 and 316.68 is: 436.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.29 : 527.22 = 316.68 : x
  2. Step 2: Convert to fraction form
    382.29/527.22 = 316.68/x
  3. Step 3: Cross multiply
    382.29x = 527.22 × 316.68
  4. Step 4: Simplify right side
    382.29x = 166,960.03
  5. Step 5: Solve for x
    x = 166,960.03/382.29
  6. Step 6: Final answer
    x = 436.74

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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.