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Finding the Fourth Proportional to 442.44, 663.54 and 319.68

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Solution

The fourth proportional to 442.44, 663.54 and 319.68 is: 479.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.44 : 663.54 = 319.68 : x
  2. Step 2: Convert to fraction form
    442.44/663.54 = 319.68/x
  3. Step 3: Cross multiply
    442.44x = 663.54 × 319.68
  4. Step 4: Simplify right side
    442.44x = 212,120.47
  5. Step 5: Solve for x
    x = 212,120.47/442.44
  6. Step 6: Final answer
    x = 479.43

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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.