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Finding the Fourth Proportional to 180.09, 248.51 and 101.41

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Solution

The fourth proportional to 180.09, 248.51 and 101.41 is: 139.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.09 : 248.51 = 101.41 : x
  2. Step 2: Convert to fraction form
    180.09/248.51 = 101.41/x
  3. Step 3: Cross multiply
    180.09x = 248.51 × 101.41
  4. Step 4: Simplify right side
    180.09x = 25,201.40
  5. Step 5: Solve for x
    x = 25,201.40/180.09
  6. Step 6: Final answer
    x = 139.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.