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Finding the Fourth Proportional to 269.28, 401.64 and 262.80

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Solution

The fourth proportional to 269.28, 401.64 and 262.80 is: 391.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.28 : 401.64 = 262.80 : x
  2. Step 2: Convert to fraction form
    269.28/401.64 = 262.80/x
  3. Step 3: Cross multiply
    269.28x = 401.64 × 262.80
  4. Step 4: Simplify right side
    269.28x = 105,550.99
  5. Step 5: Solve for x
    x = 105,550.99/269.28
  6. Step 6: Final answer
    x = 391.97

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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.