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Finding the Fourth Proportional to 544.08, 815.21 and 235.78

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Solution

The fourth proportional to 544.08, 815.21 and 235.78 is: 353.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.08 : 815.21 = 235.78 : x
  2. Step 2: Convert to fraction form
    544.08/815.21 = 235.78/x
  3. Step 3: Cross multiply
    544.08x = 815.21 × 235.78
  4. Step 4: Simplify right side
    544.08x = 192,207.88
  5. Step 5: Solve for x
    x = 192,207.88/544.08
  6. Step 6: Final answer
    x = 353.27

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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.