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Finding the Fourth Proportional to 180.93, 249.70 and 102.27

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Solution

The fourth proportional to 180.93, 249.70 and 102.27 is: 141.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.93 : 249.70 = 102.27 : x
  2. Step 2: Convert to fraction form
    180.93/249.70 = 102.27/x
  3. Step 3: Cross multiply
    180.93x = 249.70 × 102.27
  4. Step 4: Simplify right side
    180.93x = 25,536.82
  5. Step 5: Solve for x
    x = 25,536.82/180.93
  6. Step 6: Final answer
    x = 141.14

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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.