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Finding the Fourth Proportional to 381.88, 575.05 and 343.81

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Solution

The fourth proportional to 381.88, 575.05 and 343.81 is: 517.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.88 : 575.05 = 343.81 : x
  2. Step 2: Convert to fraction form
    381.88/575.05 = 343.81/x
  3. Step 3: Cross multiply
    381.88x = 575.05 × 343.81
  4. Step 4: Simplify right side
    381.88x = 197,707.94
  5. Step 5: Solve for x
    x = 197,707.94/381.88
  6. Step 6: Final answer
    x = 517.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.