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Finding the Fourth Proportional to 452.44, 623.51 and 321.22

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Solution

The fourth proportional to 452.44, 623.51 and 321.22 is: 442.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.44 : 623.51 = 321.22 : x
  2. Step 2: Convert to fraction form
    452.44/623.51 = 321.22/x
  3. Step 3: Cross multiply
    452.44x = 623.51 × 321.22
  4. Step 4: Simplify right side
    452.44x = 200,283.88
  5. Step 5: Solve for x
    x = 200,283.88/452.44
  6. Step 6: Final answer
    x = 442.68

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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.