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Finding the Fourth Proportional to 269.90, 401.61 and 268.99

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Solution

The fourth proportional to 269.90, 401.61 and 268.99 is: 400.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.90 : 401.61 = 268.99 : x
  2. Step 2: Convert to fraction form
    269.90/401.61 = 268.99/x
  3. Step 3: Cross multiply
    269.90x = 401.61 × 268.99
  4. Step 4: Simplify right side
    269.90x = 108,027.57
  5. Step 5: Solve for x
    x = 108,027.57/269.90
  6. Step 6: Final answer
    x = 400.25

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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.