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Finding the Fourth Proportional to 452.25, 624.11 and 321.49

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Solution

The fourth proportional to 452.25, 624.11 and 321.49 is: 443.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.25 : 624.11 = 321.49 : x
  2. Step 2: Convert to fraction form
    452.25/624.11 = 321.49/x
  3. Step 3: Cross multiply
    452.25x = 624.11 × 321.49
  4. Step 4: Simplify right side
    452.25x = 200,640.79
  5. Step 5: Solve for x
    x = 200,640.79/452.25
  6. Step 6: Final answer
    x = 443.65

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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.