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Finding the Fourth Proportional to 269.80, 401.86 and 268.45

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Solution

The fourth proportional to 269.80, 401.86 and 268.45 is: 399.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.80 : 401.86 = 268.45 : x
  2. Step 2: Convert to fraction form
    269.80/401.86 = 268.45/x
  3. Step 3: Cross multiply
    269.80x = 401.86 × 268.45
  4. Step 4: Simplify right side
    269.80x = 107,878.65
  5. Step 5: Solve for x
    x = 107,878.65/269.80
  6. Step 6: Final answer
    x = 399.85

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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.