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Finding the Fourth Proportional to 180.11, 248.56 and 102.48

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Solution

The fourth proportional to 180.11, 248.56 and 102.48 is: 141.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.11 : 248.56 = 102.48 : x
  2. Step 2: Convert to fraction form
    180.11/248.56 = 102.48/x
  3. Step 3: Cross multiply
    180.11x = 248.56 × 102.48
  4. Step 4: Simplify right side
    180.11x = 25,472.17
  5. Step 5: Solve for x
    x = 25,472.17/180.11
  6. Step 6: Final answer
    x = 141.43

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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.