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Finding the Fourth Proportional to 248.24, 343.32 and 196.30

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Solution

The fourth proportional to 248.24, 343.32 and 196.30 is: 271.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.24 : 343.32 = 196.30 : x
  2. Step 2: Convert to fraction form
    248.24/343.32 = 196.30/x
  3. Step 3: Cross multiply
    248.24x = 343.32 × 196.30
  4. Step 4: Simplify right side
    248.24x = 67,393.72
  5. Step 5: Solve for x
    x = 67,393.72/248.24
  6. Step 6: Final answer
    x = 271.49

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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.