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Finding the Fourth Proportional to 382.87, 573.53 and 177.15

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Solution

The fourth proportional to 382.87, 573.53 and 177.15 is: 265.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.87 : 573.53 = 177.15 : x
  2. Step 2: Convert to fraction form
    382.87/573.53 = 177.15/x
  3. Step 3: Cross multiply
    382.87x = 573.53 × 177.15
  4. Step 4: Simplify right side
    382.87x = 101,600.84
  5. Step 5: Solve for x
    x = 101,600.84/382.87
  6. Step 6: Final answer
    x = 265.37

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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.