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Finding the Fourth Proportional to 423.49, 636.30 and 269.49

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Solution

The fourth proportional to 423.49, 636.30 and 269.49 is: 404.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.49 : 636.30 = 269.49 : x
  2. Step 2: Convert to fraction form
    423.49/636.30 = 269.49/x
  3. Step 3: Cross multiply
    423.49x = 636.30 × 269.49
  4. Step 4: Simplify right side
    423.49x = 171,473.31
  5. Step 5: Solve for x
    x = 171,473.31/423.49
  6. Step 6: Final answer
    x = 404.91

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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.