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Finding the Fourth Proportional to 269.38, 371.62 and 176.28

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Solution

The fourth proportional to 269.38, 371.62 and 176.28 is: 243.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.38 : 371.62 = 176.28 : x
  2. Step 2: Convert to fraction form
    269.38/371.62 = 176.28/x
  3. Step 3: Cross multiply
    269.38x = 371.62 × 176.28
  4. Step 4: Simplify right side
    269.38x = 65,509.17
  5. Step 5: Solve for x
    x = 65,509.17/269.38
  6. Step 6: Final answer
    x = 243.18

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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.