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Finding the Fourth Proportional to 452.20, 624.03 and 255.71

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Solution

The fourth proportional to 452.20, 624.03 and 255.71 is: 352.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.20 : 624.03 = 255.71 : x
  2. Step 2: Convert to fraction form
    452.20/624.03 = 255.71/x
  3. Step 3: Cross multiply
    452.20x = 624.03 × 255.71
  4. Step 4: Simplify right side
    452.20x = 159,570.71
  5. Step 5: Solve for x
    x = 159,570.71/452.20
  6. Step 6: Final answer
    x = 352.88

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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.