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Finding the Fourth Proportional to 269.64, 401.68 and 252.83

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Solution

The fourth proportional to 269.64, 401.68 and 252.83 is: 376.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.64 : 401.68 = 252.83 : x
  2. Step 2: Convert to fraction form
    269.64/401.68 = 252.83/x
  3. Step 3: Cross multiply
    269.64x = 401.68 × 252.83
  4. Step 4: Simplify right side
    269.64x = 101,558.07
  5. Step 5: Solve for x
    x = 101,558.07/269.64
  6. Step 6: Final answer
    x = 376.64

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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.