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Finding the Fourth Proportional to 343.39, 473.90 and 196.06

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Solution

The fourth proportional to 343.39, 473.90 and 196.06 is: 270.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.39 : 473.90 = 196.06 : x
  2. Step 2: Convert to fraction form
    343.39/473.90 = 196.06/x
  3. Step 3: Cross multiply
    343.39x = 473.90 × 196.06
  4. Step 4: Simplify right side
    343.39x = 92,912.83
  5. Step 5: Solve for x
    x = 92,912.83/343.39
  6. Step 6: Final answer
    x = 270.58

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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.