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Finding the Fourth Proportional to 444.49, 665.82 and 282.29

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Solution

The fourth proportional to 444.49, 665.82 and 282.29 is: 422.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.49 : 665.82 = 282.29 : x
  2. Step 2: Convert to fraction form
    444.49/665.82 = 282.29/x
  3. Step 3: Cross multiply
    444.49x = 665.82 × 282.29
  4. Step 4: Simplify right side
    444.49x = 187,951.00
  5. Step 5: Solve for x
    x = 187,951.00/444.49
  6. Step 6: Final answer
    x = 422.85

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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.