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Finding the Fourth Proportional to 180.08, 248.51 and 121.00

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Solution

The fourth proportional to 180.08, 248.51 and 121.00 is: 166.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.08 : 248.51 = 121.00 : x
  2. Step 2: Convert to fraction form
    180.08/248.51 = 121.00/x
  3. Step 3: Cross multiply
    180.08x = 248.51 × 121.00
  4. Step 4: Simplify right side
    180.08x = 30,067.86
  5. Step 5: Solve for x
    x = 30,067.86/180.08
  6. Step 6: Final answer
    x = 166.97

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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.