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Finding the Fourth Proportional to 442.34, 663.96 and 321.32

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Solution

The fourth proportional to 442.34, 663.96 and 321.32 is: 482.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.34 : 663.96 = 321.32 : x
  2. Step 2: Convert to fraction form
    442.34/663.96 = 321.32/x
  3. Step 3: Cross multiply
    442.34x = 663.96 × 321.32
  4. Step 4: Simplify right side
    442.34x = 213,343.63
  5. Step 5: Solve for x
    x = 213,343.63/442.34
  6. Step 6: Final answer
    x = 482.31

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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.