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Finding the Fourth Proportional to 180.92, 249.91 and 140.00

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Solution

The fourth proportional to 180.92, 249.91 and 140.00 is: 193.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.92 : 249.91 = 140.00 : x
  2. Step 2: Convert to fraction form
    180.92/249.91 = 140.00/x
  3. Step 3: Cross multiply
    180.92x = 249.91 × 140.00
  4. Step 4: Simplify right side
    180.92x = 34,985.80
  5. Step 5: Solve for x
    x = 34,985.80/180.92
  6. Step 6: Final answer
    x = 193.37

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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.