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Finding the Fourth Proportional to 320.20, 479.17 and 190.27

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Solution

The fourth proportional to 320.20, 479.17 and 190.27 is: 284.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.20 : 479.17 = 190.27 : x
  2. Step 2: Convert to fraction form
    320.20/479.17 = 190.27/x
  3. Step 3: Cross multiply
    320.20x = 479.17 × 190.27
  4. Step 4: Simplify right side
    320.20x = 91,172.79
  5. Step 5: Solve for x
    x = 91,172.79/320.20
  6. Step 6: Final answer
    x = 284.73

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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.