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Finding the Fourth Proportional to 381.84, 573 and 199.32

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Solution

The fourth proportional to 381.84, 573 and 199.32 is: 299.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.84 : 573 = 199.32 : x
  2. Step 2: Convert to fraction form
    381.84/573 = 199.32/x
  3. Step 3: Cross multiply
    381.84x = 573 × 199.32
  4. Step 4: Simplify right side
    381.84x = 114,210.36
  5. Step 5: Solve for x
    x = 114,210.36/381.84
  6. Step 6: Final answer
    x = 299.11

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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.