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Finding the Fourth Proportional to 180.88, 272.69 and 169.14

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Solution

The fourth proportional to 180.88, 272.69 and 169.14 is: 254.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.88 : 272.69 = 169.14 : x
  2. Step 2: Convert to fraction form
    180.88/272.69 = 169.14/x
  3. Step 3: Cross multiply
    180.88x = 272.69 × 169.14
  4. Step 4: Simplify right side
    180.88x = 46,122.79
  5. Step 5: Solve for x
    x = 46,122.79/180.88
  6. Step 6: Final answer
    x = 254.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.