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Finding the Fourth Proportional to 269.73, 401.76 and 268.11

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Solution

The fourth proportional to 269.73, 401.76 and 268.11 is: 399.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.73 : 401.76 = 268.11 : x
  2. Step 2: Convert to fraction form
    269.73/401.76 = 268.11/x
  3. Step 3: Cross multiply
    269.73x = 401.76 × 268.11
  4. Step 4: Simplify right side
    269.73x = 107,715.87
  5. Step 5: Solve for x
    x = 107,715.87/269.73
  6. Step 6: Final answer
    x = 399.35

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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.