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Finding the Fourth Proportional to 452.12, 623.34 and 321.08

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Solution

The fourth proportional to 452.12, 623.34 and 321.08 is: 442.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.12 : 623.34 = 321.08 : x
  2. Step 2: Convert to fraction form
    452.12/623.34 = 321.08/x
  3. Step 3: Cross multiply
    452.12x = 623.34 × 321.08
  4. Step 4: Simplify right side
    452.12x = 200,142.01
  5. Step 5: Solve for x
    x = 200,142.01/452.12
  6. Step 6: Final answer
    x = 442.67

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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.