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Finding the Fourth Proportional to 343.78, 474.40 and 196.40

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Solution

The fourth proportional to 343.78, 474.40 and 196.40 is: 271.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.78 : 474.40 = 196.40 : x
  2. Step 2: Convert to fraction form
    343.78/474.40 = 196.40/x
  3. Step 3: Cross multiply
    343.78x = 474.40 × 196.40
  4. Step 4: Simplify right side
    343.78x = 93,172.16
  5. Step 5: Solve for x
    x = 93,172.16/343.78
  6. Step 6: Final answer
    x = 271.02

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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.