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Finding the Fourth Proportional to 381.71, 569.10 and 344.81

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Solution

The fourth proportional to 381.71, 569.10 and 344.81 is: 514.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.71 : 569.10 = 344.81 : x
  2. Step 2: Convert to fraction form
    381.71/569.10 = 344.81/x
  3. Step 3: Cross multiply
    381.71x = 569.10 × 344.81
  4. Step 4: Simplify right side
    381.71x = 196,234.09
  5. Step 5: Solve for x
    x = 196,234.09/381.71
  6. Step 6: Final answer
    x = 514.09

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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.