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Finding the Fourth Proportional to 544.37, 817.12 and 270.66

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Solution

The fourth proportional to 544.37, 817.12 and 270.66 is: 406.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.37 : 817.12 = 270.66 : x
  2. Step 2: Convert to fraction form
    544.37/817.12 = 270.66/x
  3. Step 3: Cross multiply
    544.37x = 817.12 × 270.66
  4. Step 4: Simplify right side
    544.37x = 221,165.10
  5. Step 5: Solve for x
    x = 221,165.10/544.37
  6. Step 6: Final answer
    x = 406.28

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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.