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Finding the Fourth Proportional to 454.25, 681.31 and 180.47

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Solution

The fourth proportional to 454.25, 681.31 and 180.47 is: 270.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.25 : 681.31 = 180.47 : x
  2. Step 2: Convert to fraction form
    454.25/681.31 = 180.47/x
  3. Step 3: Cross multiply
    454.25x = 681.31 × 180.47
  4. Step 4: Simplify right side
    454.25x = 122,956.02
  5. Step 5: Solve for x
    x = 122,956.02/454.25
  6. Step 6: Final answer
    x = 270.68

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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.