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Finding the Fourth Proportional to 419.04, 576.36 and 343.80

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Solution

The fourth proportional to 419.04, 576.36 and 343.80 is: 472.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.04 : 576.36 = 343.80 : x
  2. Step 2: Convert to fraction form
    419.04/576.36 = 343.80/x
  3. Step 3: Cross multiply
    419.04x = 576.36 × 343.80
  4. Step 4: Simplify right side
    419.04x = 198,150.85
  5. Step 5: Solve for x
    x = 198,150.85/419.04
  6. Step 6: Final answer
    x = 472.87

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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.