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Finding the Fourth Proportional to 544.50, 815.67 and 269.75

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Solution

The fourth proportional to 544.50, 815.67 and 269.75 is: 404.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.50 : 815.67 = 269.75 : x
  2. Step 2: Convert to fraction form
    544.50/815.67 = 269.75/x
  3. Step 3: Cross multiply
    544.50x = 815.67 × 269.75
  4. Step 4: Simplify right side
    544.50x = 220,029.02
  5. Step 5: Solve for x
    x = 220,029.02/544.50
  6. Step 6: Final answer
    x = 404.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.