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Finding the Fourth Proportional to 381.68, 569.20 and 333.20

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Solution

The fourth proportional to 381.68, 569.20 and 333.20 is: 496.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.68 : 569.20 = 333.20 : x
  2. Step 2: Convert to fraction form
    381.68/569.20 = 333.20/x
  3. Step 3: Cross multiply
    381.68x = 569.20 × 333.20
  4. Step 4: Simplify right side
    381.68x = 189,657.44
  5. Step 5: Solve for x
    x = 189,657.44/381.68
  6. Step 6: Final answer
    x = 496.90

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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.