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Finding the Fourth Proportional to 454.12, 681.34 and 180.20

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Solution

The fourth proportional to 454.12, 681.34 and 180.20 is: 270.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.12 : 681.34 = 180.20 : x
  2. Step 2: Convert to fraction form
    454.12/681.34 = 180.20/x
  3. Step 3: Cross multiply
    454.12x = 681.34 × 180.20
  4. Step 4: Simplify right side
    454.12x = 122,777.47
  5. Step 5: Solve for x
    x = 122,777.47/454.12
  6. Step 6: Final answer
    x = 270.36

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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.