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Finding the Fourth Proportional to 343.92, 476.84 and 338.24

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Solution

The fourth proportional to 343.92, 476.84 and 338.24 is: 468.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.92 : 476.84 = 338.24 : x
  2. Step 2: Convert to fraction form
    343.92/476.84 = 338.24/x
  3. Step 3: Cross multiply
    343.92x = 476.84 × 338.24
  4. Step 4: Simplify right side
    343.92x = 161,286.36
  5. Step 5: Solve for x
    x = 161,286.36/343.92
  6. Step 6: Final answer
    x = 468.96

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.