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Finding the Fourth Proportional to 454.68, 682.23 and 180.78

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Solution

The fourth proportional to 454.68, 682.23 and 180.78 is: 271.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.68 : 682.23 = 180.78 : x
  2. Step 2: Convert to fraction form
    454.68/682.23 = 180.78/x
  3. Step 3: Cross multiply
    454.68x = 682.23 × 180.78
  4. Step 4: Simplify right side
    454.68x = 123,333.54
  5. Step 5: Solve for x
    x = 123,333.54/454.68
  6. Step 6: Final answer
    x = 271.25

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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.