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Finding the Fourth Proportional to 180.98, 249.71 and 107.31

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Solution

The fourth proportional to 180.98, 249.71 and 107.31 is: 148.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.98 : 249.71 = 107.31 : x
  2. Step 2: Convert to fraction form
    180.98/249.71 = 107.31/x
  3. Step 3: Cross multiply
    180.98x = 249.71 × 107.31
  4. Step 4: Simplify right side
    180.98x = 26,796.65
  5. Step 5: Solve for x
    x = 26,796.65/180.98
  6. Step 6: Final answer
    x = 148.07

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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.