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Finding the Fourth Proportional to 283.92, 423.44 and 269.34

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Solution

The fourth proportional to 283.92, 423.44 and 269.34 is: 401.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.92 : 423.44 = 269.34 : x
  2. Step 2: Convert to fraction form
    283.92/423.44 = 269.34/x
  3. Step 3: Cross multiply
    283.92x = 423.44 × 269.34
  4. Step 4: Simplify right side
    283.92x = 114,049.33
  5. Step 5: Solve for x
    x = 114,049.33/283.92
  6. Step 6: Final answer
    x = 401.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.