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Finding the Fourth Proportional to 442.36, 662.73 and 326.18

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Solution

The fourth proportional to 442.36, 662.73 and 326.18 is: 488.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.36 : 662.73 = 326.18 : x
  2. Step 2: Convert to fraction form
    442.36/662.73 = 326.18/x
  3. Step 3: Cross multiply
    442.36x = 662.73 × 326.18
  4. Step 4: Simplify right side
    442.36x = 216,169.27
  5. Step 5: Solve for x
    x = 216,169.27/442.36
  6. Step 6: Final answer
    x = 488.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.