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Finding the Fourth Proportional to 269.32, 371.64 and 164.40

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Solution

The fourth proportional to 269.32, 371.64 and 164.40 is: 226.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.32 : 371.64 = 164.40 : x
  2. Step 2: Convert to fraction form
    269.32/371.64 = 164.40/x
  3. Step 3: Cross multiply
    269.32x = 371.64 × 164.40
  4. Step 4: Simplify right side
    269.32x = 61,097.62
  5. Step 5: Solve for x
    x = 61,097.62/269.32
  6. Step 6: Final answer
    x = 226.86

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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.