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Finding the Fourth Proportional to 343.82, 474.47 and 196.45

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Solution

The fourth proportional to 343.82, 474.47 and 196.45 is: 271.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.82 : 474.47 = 196.45 : x
  2. Step 2: Convert to fraction form
    343.82/474.47 = 196.45/x
  3. Step 3: Cross multiply
    343.82x = 474.47 × 196.45
  4. Step 4: Simplify right side
    343.82x = 93,207.46
  5. Step 5: Solve for x
    x = 93,207.46/343.82
  6. Step 6: Final answer
    x = 271.10

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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.