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Finding the Fourth Proportional to 269.56, 372.06 and 166

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Solution

The fourth proportional to 269.56, 372.06 and 166 is: 229.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.56 : 372.06 = 166 : x
  2. Step 2: Convert to fraction form
    269.56/372.06 = 166/x
  3. Step 3: Cross multiply
    269.56x = 372.06 × 166
  4. Step 4: Simplify right side
    269.56x = 61,761.96
  5. Step 5: Solve for x
    x = 61,761.96/269.56
  6. Step 6: Final answer
    x = 229.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.