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Finding the Fourth Proportional to 180.90, 272.70 and 179.28

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Solution

The fourth proportional to 180.90, 272.70 and 179.28 is: 270.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.90 : 272.70 = 179.28 : x
  2. Step 2: Convert to fraction form
    180.90/272.70 = 179.28/x
  3. Step 3: Cross multiply
    180.90x = 272.70 × 179.28
  4. Step 4: Simplify right side
    180.90x = 48,889.66
  5. Step 5: Solve for x
    x = 48,889.66/180.90
  6. Step 6: Final answer
    x = 270.26

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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.