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Finding the Fourth Proportional to 303.94, 456.43 and 269.32

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Solution

The fourth proportional to 303.94, 456.43 and 269.32 is: 404.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.94 : 456.43 = 269.32 : x
  2. Step 2: Convert to fraction form
    303.94/456.43 = 269.32/x
  3. Step 3: Cross multiply
    303.94x = 456.43 × 269.32
  4. Step 4: Simplify right side
    303.94x = 122,923.45
  5. Step 5: Solve for x
    x = 122,923.45/303.94
  6. Step 6: Final answer
    x = 404.43

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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.