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Finding the Fourth Proportional to 178.56, 269.04 and 161.46

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Solution

The fourth proportional to 178.56, 269.04 and 161.46 is: 243.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.56 : 269.04 = 161.46 : x
  2. Step 2: Convert to fraction form
    178.56/269.04 = 161.46/x
  3. Step 3: Cross multiply
    178.56x = 269.04 × 161.46
  4. Step 4: Simplify right side
    178.56x = 43,439.20
  5. Step 5: Solve for x
    x = 43,439.20/178.56
  6. Step 6: Final answer
    x = 243.28

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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.