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Finding the Fourth Proportional to 454.31, 681.39 and 129.68

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Solution

The fourth proportional to 454.31, 681.39 and 129.68 is: 194.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.31 : 681.39 = 129.68 : x
  2. Step 2: Convert to fraction form
    454.31/681.39 = 129.68/x
  3. Step 3: Cross multiply
    454.31x = 681.39 × 129.68
  4. Step 4: Simplify right side
    454.31x = 88,362.66
  5. Step 5: Solve for x
    x = 88,362.66/454.31
  6. Step 6: Final answer
    x = 194.50

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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.