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Finding the Fourth Proportional to 382.04, 572.25 and 186.74

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Solution

The fourth proportional to 382.04, 572.25 and 186.74 is: 279.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.04 : 572.25 = 186.74 : x
  2. Step 2: Convert to fraction form
    382.04/572.25 = 186.74/x
  3. Step 3: Cross multiply
    382.04x = 572.25 × 186.74
  4. Step 4: Simplify right side
    382.04x = 106,861.97
  5. Step 5: Solve for x
    x = 106,861.97/382.04
  6. Step 6: Final answer
    x = 279.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.