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Finding the Fourth Proportional to 180.22, 269.07 and 155.81

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Solution

The fourth proportional to 180.22, 269.07 and 155.81 is: 232.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.22 : 269.07 = 155.81 : x
  2. Step 2: Convert to fraction form
    180.22/269.07 = 155.81/x
  3. Step 3: Cross multiply
    180.22x = 269.07 × 155.81
  4. Step 4: Simplify right side
    180.22x = 41,923.02
  5. Step 5: Solve for x
    x = 41,923.02/180.22
  6. Step 6: Final answer
    x = 232.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.