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Finding the Fourth Proportional to 441.84, 609.90 and 343.43

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Solution

The fourth proportional to 441.84, 609.90 and 343.43 is: 474.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.84 : 609.90 = 343.43 : x
  2. Step 2: Convert to fraction form
    441.84/609.90 = 343.43/x
  3. Step 3: Cross multiply
    441.84x = 609.90 × 343.43
  4. Step 4: Simplify right side
    441.84x = 209,455.91
  5. Step 5: Solve for x
    x = 209,455.91/441.84
  6. Step 6: Final answer
    x = 474.05

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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.