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Finding the Fourth Proportional to 269.31, 400.75 and 268.40

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Solution

The fourth proportional to 269.31, 400.75 and 268.40 is: 399.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.31 : 400.75 = 268.40 : x
  2. Step 2: Convert to fraction form
    269.31/400.75 = 268.40/x
  3. Step 3: Cross multiply
    269.31x = 400.75 × 268.40
  4. Step 4: Simplify right side
    269.31x = 107,561.30
  5. Step 5: Solve for x
    x = 107,561.30/269.31
  6. Step 6: Final answer
    x = 399.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.