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Finding the Fourth Proportional to 424.49, 636.82 and 293.27

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Solution

The fourth proportional to 424.49, 636.82 and 293.27 is: 439.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.49 : 636.82 = 293.27 : x
  2. Step 2: Convert to fraction form
    424.49/636.82 = 293.27/x
  3. Step 3: Cross multiply
    424.49x = 636.82 × 293.27
  4. Step 4: Simplify right side
    424.49x = 186,761.06
  5. Step 5: Solve for x
    x = 186,761.06/424.49
  6. Step 6: Final answer
    x = 439.96

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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.