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Finding the Fourth Proportional to 382.77, 573.87 and 187.71

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Solution

The fourth proportional to 382.77, 573.87 and 187.71 is: 281.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.77 : 573.87 = 187.71 : x
  2. Step 2: Convert to fraction form
    382.77/573.87 = 187.71/x
  3. Step 3: Cross multiply
    382.77x = 573.87 × 187.71
  4. Step 4: Simplify right side
    382.77x = 107,721.14
  5. Step 5: Solve for x
    x = 107,721.14/382.77
  6. Step 6: Final answer
    x = 281.43

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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.