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Finding the Fourth Proportional to 452.21, 624.15 and 255.78

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Solution

The fourth proportional to 452.21, 624.15 and 255.78 is: 353.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.21 : 624.15 = 255.78 : x
  2. Step 2: Convert to fraction form
    452.21/624.15 = 255.78/x
  3. Step 3: Cross multiply
    452.21x = 624.15 × 255.78
  4. Step 4: Simplify right side
    452.21x = 159,645.09
  5. Step 5: Solve for x
    x = 159,645.09/452.21
  6. Step 6: Final answer
    x = 353.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.