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Finding the Fourth Proportional to 282.87, 423.09 and 269.91

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Solution

The fourth proportional to 282.87, 423.09 and 269.91 is: 403.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.87 : 423.09 = 269.91 : x
  2. Step 2: Convert to fraction form
    282.87/423.09 = 269.91/x
  3. Step 3: Cross multiply
    282.87x = 423.09 × 269.91
  4. Step 4: Simplify right side
    282.87x = 114,196.22
  5. Step 5: Solve for x
    x = 114,196.22/282.87
  6. Step 6: Final answer
    x = 403.71

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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.