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Finding the Fourth Proportional to 343.50, 473.92 and 196.08

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Solution

The fourth proportional to 343.50, 473.92 and 196.08 is: 270.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.50 : 473.92 = 196.08 : x
  2. Step 2: Convert to fraction form
    343.50/473.92 = 196.08/x
  3. Step 3: Cross multiply
    343.50x = 473.92 × 196.08
  4. Step 4: Simplify right side
    343.50x = 92,926.23
  5. Step 5: Solve for x
    x = 92,926.23/343.50
  6. Step 6: Final answer
    x = 270.53

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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.