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Finding the Fourth Proportional to 544.60, 816.90 and 271.23

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Solution

The fourth proportional to 544.60, 816.90 and 271.23 is: 406.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.60 : 816.90 = 271.23 : x
  2. Step 2: Convert to fraction form
    544.60/816.90 = 271.23/x
  3. Step 3: Cross multiply
    544.60x = 816.90 × 271.23
  4. Step 4: Simplify right side
    544.60x = 221,567.79
  5. Step 5: Solve for x
    x = 221,567.79/544.60
  6. Step 6: Final answer
    x = 406.85

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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.