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Finding the Fourth Proportional to 442.38, 662.31 and 297.84

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Solution

The fourth proportional to 442.38, 662.31 and 297.84 is: 445.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.38 : 662.31 = 297.84 : x
  2. Step 2: Convert to fraction form
    442.38/662.31 = 297.84/x
  3. Step 3: Cross multiply
    442.38x = 662.31 × 297.84
  4. Step 4: Simplify right side
    442.38x = 197,262.41
  5. Step 5: Solve for x
    x = 197,262.41/442.38
  6. Step 6: Final answer
    x = 445.91

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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.