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Finding the Fourth Proportional to 269.54, 403.76 and 178.28

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Solution

The fourth proportional to 269.54, 403.76 and 178.28 is: 267.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.54 : 403.76 = 178.28 : x
  2. Step 2: Convert to fraction form
    269.54/403.76 = 178.28/x
  3. Step 3: Cross multiply
    269.54x = 403.76 × 178.28
  4. Step 4: Simplify right side
    269.54x = 71,982.33
  5. Step 5: Solve for x
    x = 71,982.33/269.54
  6. Step 6: Final answer
    x = 267.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.