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Finding the Fourth Proportional to 178.50, 269.06 and 163.69

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Solution

The fourth proportional to 178.50, 269.06 and 163.69 is: 246.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.50 : 269.06 = 163.69 : x
  2. Step 2: Convert to fraction form
    178.50/269.06 = 163.69/x
  3. Step 3: Cross multiply
    178.50x = 269.06 × 163.69
  4. Step 4: Simplify right side
    178.50x = 44,042.17
  5. Step 5: Solve for x
    x = 44,042.17/178.50
  6. Step 6: Final answer
    x = 246.74

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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.