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Finding the Fourth Proportional to 180.33, 271.61 and 171.69

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Solution

The fourth proportional to 180.33, 271.61 and 171.69 is: 258.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.33 : 271.61 = 171.69 : x
  2. Step 2: Convert to fraction form
    180.33/271.61 = 171.69/x
  3. Step 3: Cross multiply
    180.33x = 271.61 × 171.69
  4. Step 4: Simplify right side
    180.33x = 46,631.86
  5. Step 5: Solve for x
    x = 46,631.86/180.33
  6. Step 6: Final answer
    x = 258.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.