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Finding the Fourth Proportional to 453.95, 681.14 and 180.23

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Solution

The fourth proportional to 453.95, 681.14 and 180.23 is: 270.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.95 : 681.14 = 180.23 : x
  2. Step 2: Convert to fraction form
    453.95/681.14 = 180.23/x
  3. Step 3: Cross multiply
    453.95x = 681.14 × 180.23
  4. Step 4: Simplify right side
    453.95x = 122,761.86
  5. Step 5: Solve for x
    x = 122,761.86/453.95
  6. Step 6: Final answer
    x = 270.43

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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.