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Finding the Fourth Proportional to 442.24, 662.60 and 319.92

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Solution

The fourth proportional to 442.24, 662.60 and 319.92 is: 479.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.24 : 662.60 = 319.92 : x
  2. Step 2: Convert to fraction form
    442.24/662.60 = 319.92/x
  3. Step 3: Cross multiply
    442.24x = 662.60 × 319.92
  4. Step 4: Simplify right side
    442.24x = 211,978.99
  5. Step 5: Solve for x
    x = 211,978.99/442.24
  6. Step 6: Final answer
    x = 479.33

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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.