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Finding the Fourth Proportional to 382.17, 523.44 and 359.72

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Solution

The fourth proportional to 382.17, 523.44 and 359.72 is: 492.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.17 : 523.44 = 359.72 : x
  2. Step 2: Convert to fraction form
    382.17/523.44 = 359.72/x
  3. Step 3: Cross multiply
    382.17x = 523.44 × 359.72
  4. Step 4: Simplify right side
    382.17x = 188,293.32
  5. Step 5: Solve for x
    x = 188,293.32/382.17
  6. Step 6: Final answer
    x = 492.70

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.