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Finding the Fourth Proportional to 180.36, 269.10 and 170.82

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Solution

The fourth proportional to 180.36, 269.10 and 170.82 is: 254.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.36 : 269.10 = 170.82 : x
  2. Step 2: Convert to fraction form
    180.36/269.10 = 170.82/x
  3. Step 3: Cross multiply
    180.36x = 269.10 × 170.82
  4. Step 4: Simplify right side
    180.36x = 45,967.66
  5. Step 5: Solve for x
    x = 45,967.66/180.36
  6. Step 6: Final answer
    x = 254.87

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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.