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Finding the Fourth Proportional to 269.21, 403.66 and 104.73

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Solution

The fourth proportional to 269.21, 403.66 and 104.73 is: 157.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.21 : 403.66 = 104.73 : x
  2. Step 2: Convert to fraction form
    269.21/403.66 = 104.73/x
  3. Step 3: Cross multiply
    269.21x = 403.66 × 104.73
  4. Step 4: Simplify right side
    269.21x = 42,275.05
  5. Step 5: Solve for x
    x = 42,275.05/269.21
  6. Step 6: Final answer
    x = 157.04

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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.