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Finding the Fourth Proportional to 278.97, 416.13 and 269.49

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Solution

The fourth proportional to 278.97, 416.13 and 269.49 is: 401.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.97 : 416.13 = 269.49 : x
  2. Step 2: Convert to fraction form
    278.97/416.13 = 269.49/x
  3. Step 3: Cross multiply
    278.97x = 416.13 × 269.49
  4. Step 4: Simplify right side
    278.97x = 112,142.87
  5. Step 5: Solve for x
    x = 112,142.87/278.97
  6. Step 6: Final answer
    x = 401.99

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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.