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Finding the Fourth Proportional to 269.85, 401.88 and 268.29

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Solution

The fourth proportional to 269.85, 401.88 and 268.29 is: 399.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.85 : 401.88 = 268.29 : x
  2. Step 2: Convert to fraction form
    269.85/401.88 = 268.29/x
  3. Step 3: Cross multiply
    269.85x = 401.88 × 268.29
  4. Step 4: Simplify right side
    269.85x = 107,820.39
  5. Step 5: Solve for x
    x = 107,820.39/269.85
  6. Step 6: Final answer
    x = 399.56

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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.