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Finding the Fourth Proportional to 180.39, 248.91 and 102.75

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Solution

The fourth proportional to 180.39, 248.91 and 102.75 is: 141.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.39 : 248.91 = 102.75 : x
  2. Step 2: Convert to fraction form
    180.39/248.91 = 102.75/x
  3. Step 3: Cross multiply
    180.39x = 248.91 × 102.75
  4. Step 4: Simplify right side
    180.39x = 25,575.50
  5. Step 5: Solve for x
    x = 25,575.50/180.39
  6. Step 6: Final answer
    x = 141.78

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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.