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Finding the Fourth Proportional to 382.49, 524.39 and 375.57

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Solution

The fourth proportional to 382.49, 524.39 and 375.57 is: 514.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.49 : 524.39 = 375.57 : x
  2. Step 2: Convert to fraction form
    382.49/524.39 = 375.57/x
  3. Step 3: Cross multiply
    382.49x = 524.39 × 375.57
  4. Step 4: Simplify right side
    382.49x = 196,945.15
  5. Step 5: Solve for x
    x = 196,945.15/382.49
  6. Step 6: Final answer
    x = 514.90

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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.