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Finding the Fourth Proportional to 320.43, 479.56 and 269.13

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Solution

The fourth proportional to 320.43, 479.56 and 269.13 is: 402.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.43 : 479.56 = 269.13 : x
  2. Step 2: Convert to fraction form
    320.43/479.56 = 269.13/x
  3. Step 3: Cross multiply
    320.43x = 479.56 × 269.13
  4. Step 4: Simplify right side
    320.43x = 129,063.98
  5. Step 5: Solve for x
    x = 129,063.98/320.43
  6. Step 6: Final answer
    x = 402.78

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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.