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Finding the Fourth Proportional to 382.75, 573.55 and 177.26

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Solution

The fourth proportional to 382.75, 573.55 and 177.26 is: 265.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.75 : 573.55 = 177.26 : x
  2. Step 2: Convert to fraction form
    382.75/573.55 = 177.26/x
  3. Step 3: Cross multiply
    382.75x = 573.55 × 177.26
  4. Step 4: Simplify right side
    382.75x = 101,663.72
  5. Step 5: Solve for x
    x = 101,663.72/382.75
  6. Step 6: Final answer
    x = 265.62

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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.