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Finding the Fourth Proportional to 180.12, 268.86 and 163.92

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Solution

The fourth proportional to 180.12, 268.86 and 163.92 is: 244.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.12 : 268.86 = 163.92 : x
  2. Step 2: Convert to fraction form
    180.12/268.86 = 163.92/x
  3. Step 3: Cross multiply
    180.12x = 268.86 × 163.92
  4. Step 4: Simplify right side
    180.12x = 44,071.53
  5. Step 5: Solve for x
    x = 44,071.53/180.12
  6. Step 6: Final answer
    x = 244.68

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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.