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Finding the Fourth Proportional to 343.51, 473.90 and 196.02

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Solution

The fourth proportional to 343.51, 473.90 and 196.02 is: 270.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.51 : 473.90 = 196.02 : x
  2. Step 2: Convert to fraction form
    343.51/473.90 = 196.02/x
  3. Step 3: Cross multiply
    343.51x = 473.90 × 196.02
  4. Step 4: Simplify right side
    343.51x = 92,893.88
  5. Step 5: Solve for x
    x = 92,893.88/343.51
  6. Step 6: Final answer
    x = 270.43

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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.