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Finding the Fourth Proportional to 418.05, 576.42 and 343.11

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Solution

The fourth proportional to 418.05, 576.42 and 343.11 is: 473.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.05 : 576.42 = 343.11 : x
  2. Step 2: Convert to fraction form
    418.05/576.42 = 343.11/x
  3. Step 3: Cross multiply
    418.05x = 576.42 × 343.11
  4. Step 4: Simplify right side
    418.05x = 197,775.47
  5. Step 5: Solve for x
    x = 197,775.47/418.05
  6. Step 6: Final answer
    x = 473.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.