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Finding the Fourth Proportional to 180.91, 249.75 and 111.07

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Solution

The fourth proportional to 180.91, 249.75 and 111.07 is: 153.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.91 : 249.75 = 111.07 : x
  2. Step 2: Convert to fraction form
    180.91/249.75 = 111.07/x
  3. Step 3: Cross multiply
    180.91x = 249.75 × 111.07
  4. Step 4: Simplify right side
    180.91x = 27,737.93
  5. Step 5: Solve for x
    x = 27,737.93/180.91
  6. Step 6: Final answer
    x = 153.33

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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.