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Finding the Fourth Proportional to 269.18, 404.07 and 178.05

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Solution

The fourth proportional to 269.18, 404.07 and 178.05 is: 267.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.18 : 404.07 = 178.05 : x
  2. Step 2: Convert to fraction form
    269.18/404.07 = 178.05/x
  3. Step 3: Cross multiply
    269.18x = 404.07 × 178.05
  4. Step 4: Simplify right side
    269.18x = 71,944.00
  5. Step 5: Solve for x
    x = 71,944.00/269.18
  6. Step 6: Final answer
    x = 267.28

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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.