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Finding the Fourth Proportional to 180.09, 268.90 and 160.65

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Solution

The fourth proportional to 180.09, 268.90 and 160.65 is: 239.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.09 : 268.90 = 160.65 : x
  2. Step 2: Convert to fraction form
    180.09/268.90 = 160.65/x
  3. Step 3: Cross multiply
    180.09x = 268.90 × 160.65
  4. Step 4: Simplify right side
    180.09x = 43,198.38
  5. Step 5: Solve for x
    x = 43,198.38/180.09
  6. Step 6: Final answer
    x = 239.87

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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.