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Finding the Fourth Proportional to 180.31, 271.68 and 163.21

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Solution

The fourth proportional to 180.31, 271.68 and 163.21 is: 245.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.31 : 271.68 = 163.21 : x
  2. Step 2: Convert to fraction form
    180.31/271.68 = 163.21/x
  3. Step 3: Cross multiply
    180.31x = 271.68 × 163.21
  4. Step 4: Simplify right side
    180.31x = 44,340.89
  5. Step 5: Solve for x
    x = 44,340.89/180.31
  6. Step 6: Final answer
    x = 245.91

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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.