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Finding the Fourth Proportional to 180.42, 269.18 and 171.30

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Solution

The fourth proportional to 180.42, 269.18 and 171.30 is: 255.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.42 : 269.18 = 171.30 : x
  2. Step 2: Convert to fraction form
    180.42/269.18 = 171.30/x
  3. Step 3: Cross multiply
    180.42x = 269.18 × 171.30
  4. Step 4: Simplify right side
    180.42x = 46,109.68
  5. Step 5: Solve for x
    x = 46,109.68/180.42
  6. Step 6: Final answer
    x = 255.57

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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.