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Finding the Fourth Proportional to 544.98, 817.42 and 271.24

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Solution

The fourth proportional to 544.98, 817.42 and 271.24 is: 406.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.98 : 817.42 = 271.24 : x
  2. Step 2: Convert to fraction form
    544.98/817.42 = 271.24/x
  3. Step 3: Cross multiply
    544.98x = 817.42 × 271.24
  4. Step 4: Simplify right side
    544.98x = 221,717.00
  5. Step 5: Solve for x
    x = 221,717.00/544.98
  6. Step 6: Final answer
    x = 406.84

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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.