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Finding the Fourth Proportional to 269.22, 401.46 and 266.78

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Solution

The fourth proportional to 269.22, 401.46 and 266.78 is: 397.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.22 : 401.46 = 266.78 : x
  2. Step 2: Convert to fraction form
    269.22/401.46 = 266.78/x
  3. Step 3: Cross multiply
    269.22x = 401.46 × 266.78
  4. Step 4: Simplify right side
    269.22x = 107,101.50
  5. Step 5: Solve for x
    x = 107,101.50/269.22
  6. Step 6: Final answer
    x = 397.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.